diff --git "a/Dataset/coordinate_geometry_dataset_3000/annotations.jsonl" "b/Dataset/coordinate_geometry_dataset_3000/annotations.jsonl" --- "a/Dataset/coordinate_geometry_dataset_3000/annotations.jsonl" +++ "b/Dataset/coordinate_geometry_dataset_3000/annotations.jsonl" @@ -1,3000 +1,3000 @@ -{"all_pairwise_distances":{"A-B":7.07},"all_pairwise_midpoints":{"A-B":[-5.5,3.5]},"canvas_size":[508,536],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0001","image_path":"images/coordinate_geometry_0001.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-6,0],"B":[-5,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 7)","point_label":"B","question_id":"coordinate_geometry_0001_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.07","point_pair":"A-B","question_id":"coordinate_geometry_0001_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0001_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-11","question_id":"coordinate_geometry_0001_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.06","question_id":"coordinate_geometry_0001_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1} -{"all_pairwise_distances":{"A-B":6.71,"A-C":8.94,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[1.5,1.0],"A-C":[2.0,2.0],"B-C":[3.5,5.0]},"canvas_size":[503,505],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0002","image_path":"images/coordinate_geometry_0002.png","is_collinear_triple":true,"num_points":3,"points":{"A":[0,-2],"B":[3,4],"C":[4,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, -2)","point_label":"A","question_id":"coordinate_geometry_0002_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.94","point_pair":"A-C","question_id":"coordinate_geometry_0002_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_0002_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"7","question_id":"coordinate_geometry_0002_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.07","question_id":"coordinate_geometry_0002_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2} -{"all_pairwise_distances":{"A-B":5.66,"A-C":8.49,"A-D":15.26,"B-C":2.83,"B-D":9.85,"C-D":7.28},"all_pairwise_midpoints":{"A-B":[-4.0,-2.0],"A-C":[-3.0,-1.0],"A-D":[0.5,0.0],"B-C":[-1.0,1.0],"B-D":[2.5,2.0],"C-D":[3.5,3.0]},"canvas_size":[515,537],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0003","image_path":"images/coordinate_geometry_0003.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-6,-4],"B":[-2,0],"C":[0,2],"D":[7,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, 4)","point_label":"D","question_id":"coordinate_geometry_0003_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.83","point_pair":"B-C","question_id":"coordinate_geometry_0003_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_0003_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_0003_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? Answer yes or no.","question_type":"triple_collinearity"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.39","question_id":"coordinate_geometry_0003_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":3} -{"all_pairwise_distances":{"A-B":14.42},"all_pairwise_midpoints":{"A-B":[1.0,0.0]},"canvas_size":[515,519],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0004","image_path":"images/coordinate_geometry_0004.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-5,4],"B":[7,-4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 4)","point_label":"A","question_id":"coordinate_geometry_0004_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.42","point_pair":"A-B","question_id":"coordinate_geometry_0004_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(1, 0)","point_pair":"A-B","question_id":"coordinate_geometry_0004_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"2","question_id":"coordinate_geometry_0004_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"12.21","question_id":"coordinate_geometry_0004_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":4} -{"all_pairwise_distances":{"A-B":6.71,"A-C":15.65,"B-C":8.94},"all_pairwise_midpoints":{"A-B":[-4.0,-0.5],"A-C":[0.0,-2.5],"B-C":[3.0,-4.0]},"canvas_size":[539,516],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0005","image_path":"images/coordinate_geometry_0005.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-7,1],"B":[-1,-2],"C":[7,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, -6)","point_label":"C","question_id":"coordinate_geometry_0005_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-B","question_id":"coordinate_geometry_0005_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_0005_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-1","question_id":"coordinate_geometry_0005_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.47","question_id":"coordinate_geometry_0005_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":5} -{"all_pairwise_distances":{"A-B":4.0,"A-C":7.0,"A-D":12.04,"B-C":3.0,"B-D":9.85,"C-D":9.06},"all_pairwise_midpoints":{"A-B":[-2.0,-3.0],"A-C":[-2.0,-1.5],"A-D":[2.5,-1.0],"B-C":[-2.0,0.5],"B-D":[2.5,1.0],"C-D":[2.5,2.5]},"canvas_size":[550,536],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0006","image_path":"images/coordinate_geometry_0006.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-2,-5],"B":[-2,-1],"C":[-2,2],"D":[7,3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, 2)","point_label":"C","question_id":"coordinate_geometry_0006_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.00","point_pair":"A-B","question_id":"coordinate_geometry_0006_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and D","question_id":"coordinate_geometry_0006_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"1","question_id":"coordinate_geometry_0006_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.39","question_id":"coordinate_geometry_0006_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":6} -{"all_pairwise_distances":{"A-B":10.2},"all_pairwise_midpoints":{"A-B":[-1.0,-6.0]},"canvas_size":[520,509],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0007","image_path":"images/coordinate_geometry_0007.png","is_collinear_triple":false,"num_points":2,"points":{"A":[4,-7],"B":[-6,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, -5)","point_label":"B","question_id":"coordinate_geometry_0007_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.20","point_pair":"A-B","question_id":"coordinate_geometry_0007_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0007_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_0007_q4","question_text":"The distance from point A to point B is 10.20 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"12.37","question_id":"coordinate_geometry_0007_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":7} -{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"B-C":4.47},"all_pairwise_midpoints":{"A-B":[-5.0,-0.5],"A-C":[-3.0,-1.5],"B-C":[-2.0,-2.0]},"canvas_size":[514,523],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0008","image_path":"images/coordinate_geometry_0008.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-6,0],"B":[-4,-1],"C":[0,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, 0)","point_label":"A","question_id":"coordinate_geometry_0008_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_0008_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0008_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-C","question_id":"coordinate_geometry_0008_q4","question_text":"The distance from point A to point C is 6.71 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"0.00","question_id":"coordinate_geometry_0008_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":8} -{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"A-D":17.69,"B-C":4.47,"B-D":15.62,"C-D":11.66},"all_pairwise_midpoints":{"A-B":[-4.5,-5.0],"A-C":[-3.5,-3.0],"A-D":[1.5,0.0],"B-C":[-3.0,-2.0],"B-D":[2.0,1.0],"C-D":[3.0,3.0]},"canvas_size":[529,539],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0009","image_path":"images/coordinate_geometry_0009.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-5,-6],"B":[-4,-4],"C":[-2,0],"D":[8,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, -6)","point_label":"A","question_id":"coordinate_geometry_0009_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"17.69","point_pair":"A-D","question_id":"coordinate_geometry_0009_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0009_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"BCD","question_id":"coordinate_geometry_0009_q4","question_text":"Are points B, C, and D collinear (do they lie on one straight line)? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_0010_q4","question_text":"The distance from point A to point B is 15.81 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"17.00","question_id":"coordinate_geometry_0010_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":10} -{"all_pairwise_distances":{"A-B":4.47,"A-C":13.42,"B-C":8.94},"all_pairwise_midpoints":{"A-B":[0.0,5.0],"A-C":[2.0,1.0],"B-C":[3.0,-1.0]},"canvas_size":[528,535],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0011","image_path":"images/coordinate_geometry_0011.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-1,7],"B":[1,3],"C":[5,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, -5)","point_label":"C","question_id":"coordinate_geometry_0011_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.94","point_pair":"B-C","question_id":"coordinate_geometry_0011_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0, 5)","point_pair":"A-B","question_id":"coordinate_geometry_0011_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"5","question_id":"coordinate_geometry_0011_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.00","question_id":"coordinate_geometry_0011_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":11} -{"all_pairwise_distances":{"A-B":4.47,"A-C":13.42,"A-D":13.6,"B-C":8.94,"B-D":9.22,"C-D":2.24},"all_pairwise_midpoints":{"A-B":[-3.0,-5.0],"A-C":[-1.0,-1.0],"A-D":[-2.0,-0.5],"B-C":[0.0,1.0],"B-D":[-1.0,1.5],"C-D":[1.0,5.5]},"canvas_size":[530,517],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0012","image_path":"images/coordinate_geometry_0012.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-4,-7],"B":[-2,-3],"C":[2,5],"D":[0,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, -3)","point_label":"B","question_id":"coordinate_geometry_0012_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"9.22","point_pair":"B-D","question_id":"coordinate_geometry_0012_q2","question_text":"What is the distance between point B and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(1, 5.5)","point_pair":"C-D","question_id":"coordinate_geometry_0012_q3","question_text":"What are the coordinates of the midpoint between point C and point D?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_0012_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.83","question_id":"coordinate_geometry_0013_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":13} -{"all_pairwise_distances":{"A-B":2.83,"A-C":8.49,"B-C":5.66},"all_pairwise_midpoints":{"A-B":[-3.0,2.0],"A-C":[-1.0,0.0],"B-C":[0.0,-1.0]},"canvas_size":[506,539],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0014","image_path":"images/coordinate_geometry_0014.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-4,3],"B":[-2,1],"C":[2,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, 1)","point_label":"B","question_id":"coordinate_geometry_0014_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.49","point_pair":"A-C","question_id":"coordinate_geometry_0014_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0014_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-4","question_id":"coordinate_geometry_0014_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"1.00","question_id":"coordinate_geometry_0014_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":14} -{"all_pairwise_distances":{"A-B":6.71,"A-C":11.18,"A-D":3.0,"B-C":4.47,"B-D":4.24,"C-D":8.6},"all_pairwise_midpoints":{"A-B":[0.5,1.0],"A-C":[1.5,3.0],"A-D":[-1.0,-0.5],"B-C":[3.0,6.0],"B-D":[0.5,2.5],"C-D":[1.5,4.5]},"canvas_size":[513,500],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0015","image_path":"images/coordinate_geometry_0015.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-1,-2],"B":[2,4],"C":[4,8],"D":[-1,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, 1)","point_label":"D","question_id":"coordinate_geometry_0015_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.18","point_pair":"A-C","question_id":"coordinate_geometry_0015_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and D","question_id":"coordinate_geometry_0015_q3","question_text":"Which two points are closest together? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"12","question_id":"coordinate_geometry_0016_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.12","question_id":"coordinate_geometry_0016_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":16} -{"all_pairwise_distances":{"A-B":6.71,"A-C":8.94,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[-1.0,-1.5],"A-C":[0.0,-1.0],"B-C":[3.0,0.5]},"canvas_size":[533,526],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0017","image_path":"images/coordinate_geometry_0017.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-4,-3],"B":[2,0],"C":[4,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -3)","point_label":"A","question_id":"coordinate_geometry_0017_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-B","question_id":"coordinate_geometry_0017_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0, -1)","point_pair":"A-C","question_id":"coordinate_geometry_0017_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_0017_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.00","question_id":"coordinate_geometry_0018_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":18} -{"all_pairwise_distances":{"A-B":3.0},"all_pairwise_midpoints":{"A-B":[8.0,-3.5]},"canvas_size":[543,502],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0019","image_path":"images/coordinate_geometry_0019.png","is_collinear_triple":false,"num_points":2,"points":{"A":[8,-5],"B":[8,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, -2)","point_label":"B","question_id":"coordinate_geometry_0019_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"3.00","point_pair":"A-B","question_id":"coordinate_geometry_0019_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0019_q3","question_text":"Which two points are closest together? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-7","question_id":"coordinate_geometry_0036_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.00","question_id":"coordinate_geometry_0036_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":36} -{"all_pairwise_distances":{"A-B":5.1},"all_pairwise_midpoints":{"A-B":[-6.5,5.5]},"canvas_size":[543,538],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0037","image_path":"images/coordinate_geometry_0037.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-6,8],"B":[-7,3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, 3)","point_label":"B","question_id":"coordinate_geometry_0037_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.10","point_pair":"A-B","question_id":"coordinate_geometry_0037_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0037_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-13","question_id":"coordinate_geometry_0037_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.00","question_id":"coordinate_geometry_0037_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":37} -{"all_pairwise_distances":{"A-B":13.6,"A-C":8.06,"B-C":12.0},"all_pairwise_midpoints":{"A-B":[-0.5,-1.0],"A-C":[5.5,-1.0],"B-C":[0.0,3.0]},"canvas_size":[540,526],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0038","image_path":"images/coordinate_geometry_0038.png","is_collinear_triple":false,"num_points":3,"points":{"A":[5,-5],"B":[-6,3],"C":[6,3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, -5)","point_label":"A","question_id":"coordinate_geometry_0038_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.00","point_pair":"B-C","question_id":"coordinate_geometry_0038_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_0038_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"B-C","question_id":"coordinate_geometry_0038_q4","question_text":"The distance from point B to point C is 12.00 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.81","question_id":"coordinate_geometry_0038_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":38} -{"all_pairwise_distances":{"A-B":4.47,"A-C":6.0,"A-D":13.15,"B-C":2.83,"B-D":12.53,"C-D":15.26},"all_pairwise_midpoints":{"A-B":[-1.0,-7.0],"A-C":[0.0,-8.0],"A-D":[-4.0,-1.5],"B-C":[2.0,-7.0],"B-D":[-2.0,-0.5],"C-D":[-1.0,-1.5]},"canvas_size":[513,516],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0039","image_path":"images/coordinate_geometry_0039.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-3,-8],"B":[1,-6],"C":[3,-8],"D":[-5,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, -8)","point_label":"C","question_id":"coordinate_geometry_0039_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.83","point_pair":"B-C","question_id":"coordinate_geometry_0039_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2, -7)","point_pair":"B-C","question_id":"coordinate_geometry_0039_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ACD","question_id":"coordinate_geometry_0039_q4","question_text":"Are points A, C, and D collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.00","question_id":"coordinate_geometry_0042_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":42} -{"all_pairwise_distances":{"A-B":13.04},"all_pairwise_midpoints":{"A-B":[-0.5,0.5]},"canvas_size":[502,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0043","image_path":"images/coordinate_geometry_0043.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-4,6],"B":[3,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, -5)","point_label":"B","question_id":"coordinate_geometry_0043_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.04","point_pair":"A-B","question_id":"coordinate_geometry_0043_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0043_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.18","question_id":"coordinate_geometry_0235_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":235} -{"all_pairwise_distances":{"A-B":13.04,"A-C":11.18,"B-C":3.61},"all_pairwise_midpoints":{"A-B":[0.5,3.5],"A-C":[1.5,2.0],"B-C":[-5.0,2.5]},"canvas_size":[543,523],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0236","image_path":"images/coordinate_geometry_0236.png","is_collinear_triple":false,"num_points":3,"points":{"A":[7,3],"B":[-6,4],"C":[-4,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 1)","point_label":"C","question_id":"coordinate_geometry_0236_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.04","point_pair":"A-B","question_id":"coordinate_geometry_0236_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_0236_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"0.00","question_id":"coordinate_geometry_0308_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":308} -{"all_pairwise_distances":{"A-B":11.18,"A-C":15.65,"A-D":5.39,"B-C":4.47,"B-D":5.83,"C-D":10.3},"all_pairwise_midpoints":{"A-B":[-0.5,2.0],"A-C":[0.5,0.0],"A-D":[-2.0,4.5],"B-C":[3.0,-5.0],"B-D":[0.5,-0.5],"C-D":[1.5,-2.5]},"canvas_size":[504,519],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0309","image_path":"images/coordinate_geometry_0309.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-3,7],"B":[2,-3],"C":[4,-7],"D":[-1,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, 7)","point_label":"A","question_id":"coordinate_geometry_0309_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.83","point_pair":"B-D","question_id":"coordinate_geometry_0309_q2","question_text":"What is the distance between point B and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(1.5, -2.5)","point_pair":"C-D","question_id":"coordinate_geometry_0309_q3","question_text":"What are the coordinates of the midpoint between point C and point D?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_0309_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.43","question_id":"coordinate_geometry_0310_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":310} -{"all_pairwise_distances":{"A-B":8.94,"A-C":11.18,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[0.0,-3.0],"A-C":[1.0,-2.5],"B-C":[5.0,-0.5]},"canvas_size":[516,516],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0311","image_path":"images/coordinate_geometry_0311.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-4,-5],"B":[4,-1],"C":[6,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, 0)","point_label":"C","question_id":"coordinate_geometry_0311_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.18","point_pair":"A-C","question_id":"coordinate_geometry_0311_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_0311_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.43","question_id":"coordinate_geometry_0316_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":316} -{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"B-C":4.47},"all_pairwise_midpoints":{"A-B":[-5.0,4.5],"A-C":[-3.0,3.5],"B-C":[-2.0,3.0]},"canvas_size":[529,501],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0317","image_path":"images/coordinate_geometry_0317.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-6,5],"B":[-4,4],"C":[0,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, 2)","point_label":"C","question_id":"coordinate_geometry_0317_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-C","question_id":"coordinate_geometry_0317_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_0317_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.30","question_id":"coordinate_geometry_0436_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":436} -{"all_pairwise_distances":{"A-B":4.47,"A-C":6.71,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[2.0,-4.0],"A-C":[2.5,-5.0],"B-C":[3.5,-7.0]},"canvas_size":[533,518],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0437","image_path":"images/coordinate_geometry_0437.png","is_collinear_triple":true,"num_points":3,"points":{"A":[1,-2],"B":[3,-6],"C":[4,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, -2)","point_label":"A","question_id":"coordinate_geometry_0437_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-C","question_id":"coordinate_geometry_0437_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_0437_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_0437_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_0438_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"1","question_id":"coordinate_geometry_0439_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.00","question_id":"coordinate_geometry_0439_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":439} -{"all_pairwise_distances":{"A-B":3.0,"A-C":7.0,"B-C":4.0},"all_pairwise_midpoints":{"A-B":[-1.0,-2.5],"A-C":[-1.0,-0.5],"B-C":[-1.0,1.0]},"canvas_size":[507,548],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0440","image_path":"images/coordinate_geometry_0440.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-1,-4],"B":[-1,-1],"C":[-1,3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, -4)","point_label":"A","question_id":"coordinate_geometry_0440_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.00","point_pair":"A-C","question_id":"coordinate_geometry_0440_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0440_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"6.71","question_id":"coordinate_geometry_0441_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":441} -{"all_pairwise_distances":{"A-B":12.08},"all_pairwise_midpoints":{"A-B":[1.5,1.5]},"canvas_size":[523,549],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0442","image_path":"images/coordinate_geometry_0442.png","is_collinear_triple":false,"num_points":2,"points":{"A":[7,4],"B":[-4,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -1)","point_label":"B","question_id":"coordinate_geometry_0442_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.08","point_pair":"A-B","question_id":"coordinate_geometry_0442_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(1.5, 1.5)","point_pair":"A-B","question_id":"coordinate_geometry_0442_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"3","question_id":"coordinate_geometry_0442_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"13.60","question_id":"coordinate_geometry_0442_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":442} -{"all_pairwise_distances":{"A-B":7.07,"A-C":9.9,"B-C":2.83},"all_pairwise_midpoints":{"A-B":[0.5,3.5],"A-C":[1.5,2.5],"B-C":[4.0,0.0]},"canvas_size":[548,508],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0443","image_path":"images/coordinate_geometry_0443.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-2,6],"B":[3,1],"C":[5,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, -1)","point_label":"C","question_id":"coordinate_geometry_0443_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.07","point_pair":"A-B","question_id":"coordinate_geometry_0443_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_0443_q3","question_text":"Which two points are farthest together? 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-{"all_pairwise_distances":{"A-B":14.14,"A-C":3.61,"A-D":15.65,"B-C":10.63,"B-D":5.0,"C-D":12.08},"all_pairwise_midpoints":{"A-B":[3.0,1.0],"A-C":[-1.0,4.5],"A-D":[1.5,-1.0],"B-C":[4.0,-0.5],"B-D":[6.5,-6.0],"C-D":[2.5,-2.5]},"canvas_size":[527,535],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0534","image_path":"images/coordinate_geometry_0534.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-2,6],"B":[8,-4],"C":[0,3],"D":[5,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, -4)","point_label":"B","question_id":"coordinate_geometry_0534_q1","question_text":"What are the coordinates of point 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B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"16.55","point_pair":"A-C","question_id":"coordinate_geometry_0536_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_0536_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.81","question_id":"coordinate_geometry_0600_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":600} -{"all_pairwise_distances":{"A-B":15.81},"all_pairwise_midpoints":{"A-B":[-0.5,-0.5]},"canvas_size":[512,543],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0601","image_path":"images/coordinate_geometry_0601.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-7,-5],"B":[6,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, 4)","point_label":"B","question_id":"coordinate_geometry_0601_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"15.81","point_pair":"A-B","question_id":"coordinate_geometry_0601_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-0.5, -0.5)","point_pair":"A-B","question_id":"coordinate_geometry_0601_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-1","question_id":"coordinate_geometry_0601_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.87","question_id":"coordinate_geometry_0601_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":601} -{"all_pairwise_distances":{"A-B":11.18,"A-C":13.42,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[-2.5,-3.0],"A-C":[-2.0,-2.0],"B-C":[0.5,3.0]},"canvas_size":[525,511],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0602","image_path":"images/coordinate_geometry_0602.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-5,-8],"B":[0,2],"C":[1,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, 2)","point_label":"B","question_id":"coordinate_geometry_0602_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.18","point_pair":"A-B","question_id":"coordinate_geometry_0602_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-2, -2)","point_pair":"A-C","question_id":"coordinate_geometry_0602_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_0602_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.22","question_id":"coordinate_geometry_0606_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":606} -{"all_pairwise_distances":{"A-B":7.62},"all_pairwise_midpoints":{"A-B":[-1.5,-5.5]},"canvas_size":[544,505],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0607","image_path":"images/coordinate_geometry_0607.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-5,-4],"B":[2,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, -4)","point_label":"A","question_id":"coordinate_geometry_0607_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.62","point_pair":"A-B","question_id":"coordinate_geometry_0607_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-1.5, -5.5)","point_pair":"A-B","question_id":"coordinate_geometry_0607_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_0607_q4","question_text":"The distance from point A to point B is 7.62 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.39","question_id":"coordinate_geometry_0607_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":607} -{"all_pairwise_distances":{"A-B":6.71,"A-C":15.65,"B-C":8.94},"all_pairwise_midpoints":{"A-B":[-4.5,-5.0],"A-C":[-2.5,-1.0],"B-C":[-1.0,2.0]},"canvas_size":[508,542],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0608","image_path":"images/coordinate_geometry_0608.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-6,-8],"B":[-3,-2],"C":[1,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, -2)","point_label":"B","question_id":"coordinate_geometry_0608_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"15.65","point_pair":"A-C","question_id":"coordinate_geometry_0608_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0608_q3","question_text":"Which two points are closest together? 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-{"all_pairwise_distances":{"A-B":11.05,"A-C":5.0,"A-D":9.06,"B-C":6.08,"B-D":12.81,"C-D":9.85},"all_pairwise_midpoints":{"A-B":[-6.5,2.5],"A-C":[-7.0,5.5],"A-D":[-2.5,7.5],"B-C":[-6.5,0.0],"B-D":[-2.0,2.0],"C-D":[-2.5,5.0]},"canvas_size":[512,539],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0645","image_path":"images/coordinate_geometry_0645.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-7,8],"B":[-6,-3],"C":[-7,3],"D":[2,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, 3)","point_label":"C","question_id":"coordinate_geometry_0645_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.05","point_pair":"A-B","question_id":"coordinate_geometry_0645_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-6.5, 0)","point_pair":"B-C","question_id":"coordinate_geometry_0645_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-18","question_id":"coordinate_geometry_0645_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.05","question_id":"coordinate_geometry_0645_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its 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B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.66","point_pair":"A-B","question_id":"coordinate_geometry_0646_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0, 6)","point_pair":"A-B","question_id":"coordinate_geometry_0646_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"0","question_id":"coordinate_geometry_0646_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"6.71","question_id":"coordinate_geometry_0646_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":646} -{"all_pairwise_distances":{"A-B":3.16,"A-C":13.6,"B-C":13.89},"all_pairwise_midpoints":{"A-B":[1.5,-6.5],"A-C":[-2.0,-0.5],"B-C":[-0.5,0.0]},"canvas_size":[542,534],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0647","image_path":"images/coordinate_geometry_0647.png","is_collinear_triple":false,"num_points":3,"points":{"A":[0,-7],"B":[3,-6],"C":[-4,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, -7)","point_label":"A","question_id":"coordinate_geometry_0647_q1","question_text":"What are the coordinates of point 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.40","question_id":"coordinate_geometry_0648_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":648} -{"all_pairwise_distances":{"A-B":10.3},"all_pairwise_midpoints":{"A-B":[-1.5,3.5]},"canvas_size":[522,514],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0649","image_path":"images/coordinate_geometry_0649.png","is_collinear_triple":false,"num_points":2,"points":{"A":[3,6],"B":[-6,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, 6)","point_label":"A","question_id":"coordinate_geometry_0649_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.30","point_pair":"A-B","question_id":"coordinate_geometry_0649_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0649_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.82","question_id":"coordinate_geometry_0730_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":730} -{"all_pairwise_distances":{"A-B":4.47,"A-C":13.42,"B-C":8.94},"all_pairwise_midpoints":{"A-B":[-4.0,2.0],"A-C":[0.0,0.0],"B-C":[2.0,-1.0]},"canvas_size":[546,504],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0731","image_path":"images/coordinate_geometry_0731.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-6,3],"B":[-2,1],"C":[6,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, 3)","point_label":"A","question_id":"coordinate_geometry_0731_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.42","point_pair":"A-C","question_id":"coordinate_geometry_0731_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0, 0)","point_pair":"A-C","question_id":"coordinate_geometry_0731_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-2","question_id":"coordinate_geometry_0731_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.24","question_id":"coordinate_geometry_0731_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":731} -{"all_pairwise_distances":{"A-B":2.24,"A-C":11.18,"A-D":14.42,"B-C":8.94,"B-D":12.21,"C-D":3.61},"all_pairwise_midpoints":{"A-B":[-1.5,-4.0],"A-C":[0.5,0.0],"A-D":[2.0,1.0],"B-C":[1.0,1.0],"B-D":[2.5,2.0],"C-D":[4.5,6.0]},"canvas_size":[542,507],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0732","image_path":"images/coordinate_geometry_0732.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-2,-5],"B":[-1,-3],"C":[3,5],"D":[6,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, -5)","point_label":"A","question_id":"coordinate_geometry_0732_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_0732_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and D","question_id":"coordinate_geometry_0732_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.16","question_id":"coordinate_geometry_0732_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":732} -{"all_pairwise_distances":{"A-B":14.14},"all_pairwise_midpoints":{"A-B":[1.0,1.0]},"canvas_size":[526,540],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0733","image_path":"images/coordinate_geometry_0733.png","is_collinear_triple":false,"num_points":2,"points":{"A":[6,-4],"B":[-4,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, -4)","point_label":"A","question_id":"coordinate_geometry_0733_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.14","point_pair":"A-B","question_id":"coordinate_geometry_0733_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0733_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"16.28","question_id":"coordinate_geometry_0733_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":733} -{"all_pairwise_distances":{"A-B":4.47,"A-C":11.18,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[-4.0,-3.0],"A-C":[-1.0,-1.5],"B-C":[1.0,-0.5]},"canvas_size":[543,521],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0734","image_path":"images/coordinate_geometry_0734.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-6,-4],"B":[-2,-2],"C":[4,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 1)","point_label":"C","question_id":"coordinate_geometry_0734_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.47","point_pair":"A-B","question_id":"coordinate_geometry_0734_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0734_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.61","question_id":"coordinate_geometry_0734_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":734} -{"all_pairwise_distances":{"A-B":2.24,"A-C":11.18,"A-D":7.0,"B-C":8.94,"B-D":6.32,"C-D":10.2},"all_pairwise_midpoints":{"A-B":[-0.5,-4.0],"A-C":[1.5,0.0],"A-D":[2.5,-5.0],"B-C":[2.0,1.0],"B-D":[3.0,-4.0],"C-D":[5.0,0.0]},"canvas_size":[527,508],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0735","image_path":"images/coordinate_geometry_0735.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-1,-5],"B":[0,-3],"C":[4,5],"D":[6,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 5)","point_label":"C","question_id":"coordinate_geometry_0735_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.32","point_pair":"B-D","question_id":"coordinate_geometry_0735_q2","question_text":"What is the distance between point B and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_0735_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.06","question_id":"coordinate_geometry_0753_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":753} -{"all_pairwise_distances":{"A-B":10.05},"all_pairwise_midpoints":{"A-B":[2.0,-4.5]},"canvas_size":[511,547],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0754","image_path":"images/coordinate_geometry_0754.png","is_collinear_triple":false,"num_points":2,"points":{"A":[7,-4],"B":[-3,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, -4)","point_label":"A","question_id":"coordinate_geometry_0754_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.05","point_pair":"A-B","question_id":"coordinate_geometry_0754_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2, -4.5)","point_pair":"A-B","question_id":"coordinate_geometry_0754_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_0754_q4","question_text":"The distance from point A to point B is 10.05 units. 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"2","question_id":"coordinate_geometry_0775_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"13.42","question_id":"coordinate_geometry_0775_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":775} -{"all_pairwise_distances":{"A-B":3.61,"A-C":10.05,"B-C":13.04},"all_pairwise_midpoints":{"A-B":[6.0,-6.5],"A-C":[5.5,0.0],"B-C":[6.5,-1.5]},"canvas_size":[528,550],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0776","image_path":"images/coordinate_geometry_0776.png","is_collinear_triple":false,"num_points":3,"points":{"A":[5,-5],"B":[7,-8],"C":[6,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, 5)","point_label":"C","question_id":"coordinate_geometry_0776_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.04","point_pair":"B-C","question_id":"coordinate_geometry_0776_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0776_q3","question_text":"Which two points are closest together? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-D","question_id":"coordinate_geometry_0777_q4","question_text":"The distance from point A to point D is 2.83 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.00","question_id":"coordinate_geometry_0777_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":777} -{"all_pairwise_distances":{"A-B":2.83},"all_pairwise_midpoints":{"A-B":[-3.0,4.0]},"canvas_size":[502,522],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0778","image_path":"images/coordinate_geometry_0778.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-4,3],"B":[-2,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, 5)","point_label":"B","question_id":"coordinate_geometry_0778_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.83","point_pair":"A-B","question_id":"coordinate_geometry_0778_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0778_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.00","question_id":"coordinate_geometry_0778_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":778} -{"all_pairwise_distances":{"A-B":12.53,"A-C":3.61,"B-C":9.49},"all_pairwise_midpoints":{"A-B":[2.5,1.0],"A-C":[-2.0,2.5],"B-C":[3.5,-0.5]},"canvas_size":[536,534],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0779","image_path":"images/coordinate_geometry_0779.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-3,4],"B":[8,-2],"C":[-1,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, -2)","point_label":"B","question_id":"coordinate_geometry_0779_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.53","point_pair":"A-B","question_id":"coordinate_geometry_0779_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0779_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"6.71","question_id":"coordinate_geometry_0789_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":789} -{"all_pairwise_distances":{"A-B":7.07},"all_pairwise_midpoints":{"A-B":[-2.5,6.5]},"canvas_size":[540,546],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0790","image_path":"images/coordinate_geometry_0790.png","is_collinear_triple":false,"num_points":2,"points":{"A":[1,6],"B":[-6,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, 6)","point_label":"A","question_id":"coordinate_geometry_0790_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.07","point_pair":"A-B","question_id":"coordinate_geometry_0790_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0790_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.12","question_id":"coordinate_geometry_0792_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":792} -{"all_pairwise_distances":{"A-B":13.6},"all_pairwise_midpoints":{"A-B":[-4.0,0.5]},"canvas_size":[539,547],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0793","image_path":"images/coordinate_geometry_0793.png","is_collinear_triple":false,"num_points":2,"points":{"A":[0,-5],"B":[-8,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-8, 6)","point_label":"B","question_id":"coordinate_geometry_0793_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.60","point_pair":"A-B","question_id":"coordinate_geometry_0793_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0793_q3","question_text":"Which two points are closest together? 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-{"all_pairwise_distances":{"A-B":6.71,"A-C":8.94,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[0.0,-0.5],"A-C":[1.0,0.0],"B-C":[4.0,1.5]},"canvas_size":[537,525],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0851","image_path":"images/coordinate_geometry_0851.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-3,-2],"B":[3,1],"C":[5,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, -2)","point_label":"A","question_id":"coordinate_geometry_0851_q1","question_text":"What are the coordinates of point 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"1.00","question_id":"coordinate_geometry_0926_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":926} -{"all_pairwise_distances":{"A-B":8.94,"A-C":11.18,"A-D":3.61,"B-C":2.24,"B-D":5.39,"C-D":7.62},"all_pairwise_midpoints":{"A-B":[-1.0,3.0],"A-C":[-0.5,2.0],"A-D":[-2.0,5.5],"B-C":[1.5,-2.0],"B-D":[0.0,1.5],"C-D":[0.5,0.5]},"canvas_size":[540,508],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0927","image_path":"images/coordinate_geometry_0927.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-3,7],"B":[1,-1],"C":[2,-3],"D":[-1,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, -1)","point_label":"B","question_id":"coordinate_geometry_0927_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"3.61","point_pair":"A-D","question_id":"coordinate_geometry_0927_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_0927_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"1.41","question_id":"coordinate_geometry_1169_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1169} -{"all_pairwise_distances":{"A-B":3.61,"A-C":13.0,"A-D":9.22,"B-C":11.4,"B-D":12.0,"C-D":14.21},"all_pairwise_midpoints":{"A-B":[-3.5,-7.0],"A-C":[-2.0,-1.5],"A-D":[2.5,-7.0],"B-C":[-3.5,-0.5],"B-D":[1.0,-6.0],"C-D":[2.5,-0.5]},"canvas_size":[502,510],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1170","image_path":"images/coordinate_geometry_1170.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-2,-8],"B":[-5,-6],"C":[-2,5],"D":[7,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, -8)","point_label":"A","question_id":"coordinate_geometry_1170_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"3.61","point_pair":"A-B","question_id":"coordinate_geometry_1170_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1170_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.83","question_id":"coordinate_geometry_1170_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1170} -{"all_pairwise_distances":{"A-B":13.15},"all_pairwise_midpoints":{"A-B":[-1.5,-3.0]},"canvas_size":[546,525],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1171","image_path":"images/coordinate_geometry_1171.png","is_collinear_triple":false,"num_points":2,"points":{"A":[5,-4],"B":[-8,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-8, -2)","point_label":"B","question_id":"coordinate_geometry_1171_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.15","point_pair":"A-B","question_id":"coordinate_geometry_1171_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1171_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-3","question_id":"coordinate_geometry_1171_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.30","question_id":"coordinate_geometry_1171_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1171} -{"all_pairwise_distances":{"A-B":2.83,"A-C":5.83,"B-C":8.6},"all_pairwise_midpoints":{"A-B":[-2.0,-7.0],"A-C":[-4.5,-3.5],"B-C":[-3.5,-4.5]},"canvas_size":[535,548],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1172","image_path":"images/coordinate_geometry_1172.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-3,-6],"B":[-1,-8],"C":[-6,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, -8)","point_label":"B","question_id":"coordinate_geometry_1172_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.83","point_pair":"A-C","question_id":"coordinate_geometry_1172_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_1172_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.40","question_id":"coordinate_geometry_1173_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1173} -{"all_pairwise_distances":{"A-B":8.0},"all_pairwise_midpoints":{"A-B":[1.0,4.0]},"canvas_size":[514,526],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1174","image_path":"images/coordinate_geometry_1174.png","is_collinear_triple":false,"num_points":2,"points":{"A":[1,8],"B":[1,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, 8)","point_label":"A","question_id":"coordinate_geometry_1174_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.00","point_pair":"A-B","question_id":"coordinate_geometry_1174_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1174_q3","question_text":"Which two points are farthest together? 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Answer yes or no.","question_type":"triple_collinearity"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.77","question_id":"coordinate_geometry_1200_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1200} -{"all_pairwise_distances":{"A-B":10.05},"all_pairwise_midpoints":{"A-B":[3.5,1.0]},"canvas_size":[512,511],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1201","image_path":"images/coordinate_geometry_1201.png","is_collinear_triple":false,"num_points":2,"points":{"A":[3,-4],"B":[4,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, -4)","point_label":"A","question_id":"coordinate_geometry_1201_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.05","point_pair":"A-B","question_id":"coordinate_geometry_1201_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(3.5, 1)","point_pair":"A-B","question_id":"coordinate_geometry_1201_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"7","question_id":"coordinate_geometry_1201_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.05","question_id":"coordinate_geometry_1201_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1201} -{"all_pairwise_distances":{"A-B":6.71,"A-C":17.89,"B-C":11.18},"all_pairwise_midpoints":{"A-B":[-5.0,2.5],"A-C":[0.0,0.0],"B-C":[3.0,-1.5]},"canvas_size":[519,530],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1202","image_path":"images/coordinate_geometry_1202.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-8,4],"B":[-2,1],"C":[8,-4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, 1)","point_label":"B","question_id":"coordinate_geometry_1202_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-B","question_id":"coordinate_geometry_1202_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1202_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1202_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? Answer yes or no.","question_type":"triple_collinearity"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.47","question_id":"coordinate_geometry_1202_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1202} -{"all_pairwise_distances":{"A-B":4.47,"A-C":6.71,"A-D":18.6,"B-C":2.24,"B-D":14.21,"C-D":12.04},"all_pairwise_midpoints":{"A-B":[-3.0,5.0],"A-C":[-2.5,4.0],"A-D":[1.5,-0.5],"B-C":[-1.5,2.0],"B-D":[2.5,-2.5],"C-D":[3.0,-3.5]},"canvas_size":[513,523],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1203","image_path":"images/coordinate_geometry_1203.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-4,7],"B":[-2,3],"C":[-1,1],"D":[7,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, 3)","point_label":"B","question_id":"coordinate_geometry_1203_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.21","point_pair":"B-D","question_id":"coordinate_geometry_1203_q2","question_text":"What is the distance between point B and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and D","question_id":"coordinate_geometry_1203_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"0","question_id":"coordinate_geometry_1203_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.00","question_id":"coordinate_geometry_1203_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1203} -{"all_pairwise_distances":{"A-B":6.4},"all_pairwise_midpoints":{"A-B":[1.5,3.0]},"canvas_size":[524,541],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1204","image_path":"images/coordinate_geometry_1204.png","is_collinear_triple":false,"num_points":2,"points":{"A":[4,1],"B":[-1,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 1)","point_label":"A","question_id":"coordinate_geometry_1204_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.40","point_pair":"A-B","question_id":"coordinate_geometry_1204_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1204_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1204_q4","question_text":"The distance from point A to point B is 6.40 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.60","question_id":"coordinate_geometry_1204_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1204} -{"all_pairwise_distances":{"A-B":11.18,"A-C":15.65,"B-C":4.47},"all_pairwise_midpoints":{"A-B":[-2.0,3.5],"A-C":[0.0,2.5],"B-C":[5.0,0.0]},"canvas_size":[541,526],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1205","image_path":"images/coordinate_geometry_1205.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-7,6],"B":[3,1],"C":[7,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, 1)","point_label":"B","question_id":"coordinate_geometry_1205_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.47","point_pair":"B-C","question_id":"coordinate_geometry_1205_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-2, 3.5)","point_pair":"A-B","question_id":"coordinate_geometry_1205_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1205_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.90","question_id":"coordinate_geometry_1207_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1207} -{"all_pairwise_distances":{"A-B":8.94,"A-C":11.18,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[1.0,1.0],"A-C":[2.0,0.5],"B-C":[6.0,-1.5]},"canvas_size":[501,504],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1208","image_path":"images/coordinate_geometry_1208.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-3,3],"B":[5,-1],"C":[7,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, -2)","point_label":"C","question_id":"coordinate_geometry_1208_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.94","point_pair":"A-B","question_id":"coordinate_geometry_1208_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1208_q3","question_text":"Which two points are farthest together? 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-{"all_pairwise_distances":{"A-B":19.21},"all_pairwise_midpoints":{"A-B":[-0.5,-1.0]},"canvas_size":[504,532],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1210","image_path":"images/coordinate_geometry_1210.png","is_collinear_triple":false,"num_points":2,"points":{"A":[7,-7],"B":[-8,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, -7)","point_label":"A","question_id":"coordinate_geometry_1210_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"19.21","point_pair":"A-B","question_id":"coordinate_geometry_1210_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-0.5, -1)","point_pair":"A-B","question_id":"coordinate_geometry_1210_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-1","question_id":"coordinate_geometry_1210_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"21.40","question_id":"coordinate_geometry_1210_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1210} -{"all_pairwise_distances":{"A-B":4.47,"A-C":11.18,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[-3.0,0.0],"A-C":[-1.5,-3.0],"B-C":[-0.5,-5.0]},"canvas_size":[518,540],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1211","image_path":"images/coordinate_geometry_1211.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-4,2],"B":[-2,-2],"C":[1,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, -8)","point_label":"C","question_id":"coordinate_geometry_1211_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.18","point_pair":"A-C","question_id":"coordinate_geometry_1211_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-3, 0)","point_pair":"A-B","question_id":"coordinate_geometry_1211_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-5","question_id":"coordinate_geometry_1211_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.00","question_id":"coordinate_geometry_1211_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_1255_q4","question_text":"The distance from point A to point B is 14.14 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"16.28","question_id":"coordinate_geometry_1255_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1255} -{"all_pairwise_distances":{"A-B":11.66,"A-C":14.42,"B-C":6.32},"all_pairwise_midpoints":{"A-B":[0.0,3.0],"A-C":[-1.0,0.0],"B-C":[4.0,-3.0]},"canvas_size":[535,507],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1256","image_path":"images/coordinate_geometry_1256.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-5,6],"B":[5,0],"C":[3,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, 0)","point_label":"B","question_id":"coordinate_geometry_1256_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.32","point_pair":"B-C","question_id":"coordinate_geometry_1256_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_1256_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"B-C","question_id":"coordinate_geometry_1256_q4","question_text":"The distance from point B to point C is 6.32 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.43","question_id":"coordinate_geometry_1256_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1256} -{"all_pairwise_distances":{"A-B":4.12,"A-C":5.39,"A-D":12.73,"B-C":7.21,"B-D":15.26,"C-D":8.06},"all_pairwise_midpoints":{"A-B":[-1.5,5.0],"A-C":[0.5,2.0],"A-D":[2.5,-1.5],"B-C":[1.0,4.0],"B-D":[3.0,0.5],"C-D":[5.0,-2.5]},"canvas_size":[532,525],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1257","image_path":"images/coordinate_geometry_1257.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-2,3],"B":[-1,7],"C":[3,1],"D":[7,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, -6)","point_label":"D","question_id":"coordinate_geometry_1257_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.21","point_pair":"B-C","question_id":"coordinate_geometry_1257_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0.5, 2)","point_pair":"A-C","question_id":"coordinate_geometry_1257_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABD","question_id":"coordinate_geometry_1257_q4","question_text":"Are points A, B, and D collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"13.04","question_id":"coordinate_geometry_1258_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1258} -{"all_pairwise_distances":{"A-B":2.83,"A-C":12.04,"B-C":14.87},"all_pairwise_midpoints":{"A-B":[-4.0,7.0],"A-C":[1.5,2.0],"B-C":[0.5,3.0]},"canvas_size":[524,546],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1259","image_path":"images/coordinate_geometry_1259.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-3,6],"B":[-5,8],"C":[6,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, 6)","point_label":"A","question_id":"coordinate_geometry_1259_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.87","point_pair":"B-C","question_id":"coordinate_geometry_1259_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_1259_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"1.00","question_id":"coordinate_geometry_1264_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1264} -{"all_pairwise_distances":{"A-B":11.18,"A-C":15.65,"B-C":4.47},"all_pairwise_midpoints":{"A-B":[-2.0,-0.5],"A-C":[0.0,0.5],"B-C":[5.0,3.0]},"canvas_size":[500,507],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1265","image_path":"images/coordinate_geometry_1265.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-7,-3],"B":[3,2],"C":[7,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, 4)","point_label":"C","question_id":"coordinate_geometry_1265_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.47","point_pair":"B-C","question_id":"coordinate_geometry_1265_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0, 0.5)","point_pair":"A-C","question_id":"coordinate_geometry_1265_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"B-C","question_id":"coordinate_geometry_1265_q4","question_text":"The distance from point B to point C is 4.47 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.00","question_id":"coordinate_geometry_1265_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1265} -{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"A-D":11.18,"B-C":4.47,"B-D":10.0,"C-D":8.94},"all_pairwise_midpoints":{"A-B":[-5.0,-0.5],"A-C":[-3.0,0.5],"A-D":[-1.0,-3.5],"B-C":[-2.0,1.0],"B-D":[0.0,-3.0],"C-D":[2.0,-2.0]},"canvas_size":[544,513],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1266","image_path":"images/coordinate_geometry_1266.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-6,-1],"B":[-4,0],"C":[0,2],"D":[4,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 0)","point_label":"B","question_id":"coordinate_geometry_1266_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-C","question_id":"coordinate_geometry_1266_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-5, -0.5)","point_pair":"A-B","question_id":"coordinate_geometry_1266_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-6","question_id":"coordinate_geometry_1266_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.00","question_id":"coordinate_geometry_1266_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1266} -{"all_pairwise_distances":{"A-B":5.0},"all_pairwise_midpoints":{"A-B":[3.0,-0.5]},"canvas_size":[504,532],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1267","image_path":"images/coordinate_geometry_1267.png","is_collinear_triple":false,"num_points":2,"points":{"A":[1,-2],"B":[5,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, -2)","point_label":"A","question_id":"coordinate_geometry_1267_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.00","point_pair":"A-B","question_id":"coordinate_geometry_1267_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(3, -0.5)","point_pair":"A-B","question_id":"coordinate_geometry_1267_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1267_q4","question_text":"The distance from point A to point B is 5.00 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.47","question_id":"coordinate_geometry_1267_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1267} -{"all_pairwise_distances":{"A-B":6.71,"A-C":15.65,"B-C":8.94},"all_pairwise_midpoints":{"A-B":[-0.5,5.0],"A-C":[1.5,1.0],"B-C":[3.0,-2.0]},"canvas_size":[505,546],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1268","image_path":"images/coordinate_geometry_1268.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-2,8],"B":[1,2],"C":[5,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, 8)","point_label":"A","question_id":"coordinate_geometry_1268_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"15.65","point_pair":"A-C","question_id":"coordinate_geometry_1268_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1268_q3","question_text":"Which two points are farthest together? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1269_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"16.49","question_id":"coordinate_geometry_1270_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1270} -{"all_pairwise_distances":{"A-B":4.47,"A-C":15.65,"B-C":11.18},"all_pairwise_midpoints":{"A-B":[-6.0,3.0],"A-C":[-1.0,0.5],"B-C":[1.0,-0.5]},"canvas_size":[522,506],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1271","image_path":"images/coordinate_geometry_1271.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-8,4],"B":[-4,2],"C":[6,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 2)","point_label":"B","question_id":"coordinate_geometry_1271_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.18","point_pair":"B-C","question_id":"coordinate_geometry_1271_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(1, -0.5)","point_pair":"B-C","question_id":"coordinate_geometry_1271_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"B-C","question_id":"coordinate_geometry_1271_q4","question_text":"The distance from point B to point C is 11.18 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.24","question_id":"coordinate_geometry_1271_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1271} -{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"A-D":12.08,"B-C":4.47,"B-D":10.82,"C-D":9.43},"all_pairwise_midpoints":{"A-B":[-1.5,4.0],"A-C":[-0.5,2.0],"A-D":[-4.5,-0.5],"B-C":[0.0,1.0],"B-D":[-4.0,-1.5],"C-D":[-3.0,-3.5]},"canvas_size":[514,533],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1272","image_path":"images/coordinate_geometry_1272.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-2,5],"B":[-1,3],"C":[1,-1],"D":[-7,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, -6)","point_label":"D","question_id":"coordinate_geometry_1272_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_1272_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-0.5, 2)","point_pair":"A-C","question_id":"coordinate_geometry_1272_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-C","question_id":"coordinate_geometry_1272_q4","question_text":"The distance from point A to point C is 6.71 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"1.41","question_id":"coordinate_geometry_1272_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1272} -{"all_pairwise_distances":{"A-B":16.12},"all_pairwise_midpoints":{"A-B":[0.0,7.0]},"canvas_size":[542,534],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1273","image_path":"images/coordinate_geometry_1273.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-8,6],"B":[8,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-8, 6)","point_label":"A","question_id":"coordinate_geometry_1273_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"16.12","point_pair":"A-B","question_id":"coordinate_geometry_1273_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0, 7)","point_pair":"A-B","question_id":"coordinate_geometry_1273_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"0","question_id":"coordinate_geometry_1273_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.32","question_id":"coordinate_geometry_1273_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1273} -{"all_pairwise_distances":{"A-B":4.47,"A-C":11.18,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[-3.0,-2.0],"A-C":[-1.5,1.0],"B-C":[-0.5,3.0]},"canvas_size":[507,546],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1274","image_path":"images/coordinate_geometry_1274.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-4,-4],"B":[-2,0],"C":[1,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -4)","point_label":"A","question_id":"coordinate_geometry_1274_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.47","point_pair":"A-B","question_id":"coordinate_geometry_1274_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1274_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.81","question_id":"coordinate_geometry_1275_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1275} -{"all_pairwise_distances":{"A-B":10.0},"all_pairwise_midpoints":{"A-B":[-1.0,-1.0]},"canvas_size":[515,511],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1276","image_path":"images/coordinate_geometry_1276.png","is_collinear_triple":false,"num_points":2,"points":{"A":[3,-4],"B":[-5,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 2)","point_label":"B","question_id":"coordinate_geometry_1276_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.00","point_pair":"A-B","question_id":"coordinate_geometry_1276_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1276_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-2","question_id":"coordinate_geometry_1276_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"12.21","question_id":"coordinate_geometry_1276_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1276} -{"all_pairwise_distances":{"A-B":11.18,"A-C":13.42,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[-3.0,3.5],"A-C":[-2.0,3.0],"B-C":[3.0,0.5]},"canvas_size":[514,541],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1277","image_path":"images/coordinate_geometry_1277.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-8,6],"B":[2,1],"C":[4,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 0)","point_label":"C","question_id":"coordinate_geometry_1277_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.42","point_pair":"A-C","question_id":"coordinate_geometry_1277_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(3, 0.5)","point_pair":"B-C","question_id":"coordinate_geometry_1277_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1277_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Answer yes or no.","question_type":"triple_collinearity"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"6.71","question_id":"coordinate_geometry_1329_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1329} -{"all_pairwise_distances":{"A-B":14.14},"all_pairwise_midpoints":{"A-B":[2.0,0.0]},"canvas_size":[522,515],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1330","image_path":"images/coordinate_geometry_1330.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-3,-5],"B":[7,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, 5)","point_label":"B","question_id":"coordinate_geometry_1330_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.14","point_pair":"A-B","question_id":"coordinate_geometry_1330_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2, 0)","point_pair":"A-B","question_id":"coordinate_geometry_1330_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_1330_q4","question_text":"The distance from point A to point B is 14.14 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"13.60","question_id":"coordinate_geometry_1330_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1330} -{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"B-C":4.47},"all_pairwise_midpoints":{"A-B":[-0.5,2.0],"A-C":[0.5,0.0],"B-C":[1.0,-1.0]},"canvas_size":[536,533],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1331","image_path":"images/coordinate_geometry_1331.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-1,3],"B":[0,1],"C":[2,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(2, -3)","point_label":"C","question_id":"coordinate_geometry_1331_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-C","question_id":"coordinate_geometry_1331_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1331_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"1","question_id":"coordinate_geometry_1331_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"1.41","question_id":"coordinate_geometry_1331_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1331} -{"all_pairwise_distances":{"A-B":2.24,"A-C":8.94,"A-D":5.39,"B-C":6.71,"B-D":6.0,"C-D":10.82},"all_pairwise_midpoints":{"A-B":[-2.5,-5.0],"A-C":[-1.0,-2.0],"A-D":[-5.5,-5.0],"B-C":[-0.5,-1.0],"B-D":[-5.0,-4.0],"C-D":[-3.5,-1.0]},"canvas_size":[503,524],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1332","image_path":"images/coordinate_geometry_1332.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-3,-6],"B":[-2,-4],"C":[1,2],"D":[-8,-4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, -4)","point_label":"B","question_id":"coordinate_geometry_1332_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.39","point_pair":"A-D","question_id":"coordinate_geometry_1332_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1332_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1332_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? Answer yes or no.","question_type":"triple_collinearity"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.16","question_id":"coordinate_geometry_1332_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1332} -{"all_pairwise_distances":{"A-B":13.04},"all_pairwise_midpoints":{"A-B":[0.5,-0.5]},"canvas_size":[531,522],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1333","image_path":"images/coordinate_geometry_1333.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-6,-1],"B":[7,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, -1)","point_label":"A","question_id":"coordinate_geometry_1333_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.04","point_pair":"A-B","question_id":"coordinate_geometry_1333_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1333_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"1","question_id":"coordinate_geometry_1333_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.18","question_id":"coordinate_geometry_1333_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1333} -{"all_pairwise_distances":{"A-B":2.24,"A-C":8.94,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[-5.0,0.5],"A-C":[-2.0,-1.0],"B-C":[-1.0,-1.5]},"canvas_size":[542,529],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1334","image_path":"images/coordinate_geometry_1334.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-6,1],"B":[-4,0],"C":[2,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 0)","point_label":"B","question_id":"coordinate_geometry_1334_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_1334_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-1, -1.5)","point_pair":"B-C","question_id":"coordinate_geometry_1334_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-8","question_id":"coordinate_geometry_1334_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"0.00","question_id":"coordinate_geometry_1334_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1334} -{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"A-D":3.16,"B-C":4.47,"B-D":5.0,"C-D":9.22},"all_pairwise_midpoints":{"A-B":[-4.0,0.5],"A-C":[-2.0,-0.5],"A-D":[-6.5,0.5],"B-C":[-1.0,-1.0],"B-D":[-5.5,0.0],"C-D":[-3.5,-1.0]},"canvas_size":[547,533],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1335","image_path":"images/coordinate_geometry_1335.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-5,1],"B":[-3,0],"C":[1,-2],"D":[-8,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 1)","point_label":"A","question_id":"coordinate_geometry_1335_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-C","question_id":"coordinate_geometry_1335_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"C and D","question_id":"coordinate_geometry_1335_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1335_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? Answer yes or no.","question_type":"triple_collinearity"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"0.00","question_id":"coordinate_geometry_1335_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1335} -{"all_pairwise_distances":{"A-B":8.25},"all_pairwise_midpoints":{"A-B":[4.0,-4.0]},"canvas_size":[532,506],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1336","image_path":"images/coordinate_geometry_1336.png","is_collinear_triple":false,"num_points":2,"points":{"A":[0,-3],"B":[8,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, -3)","point_label":"A","question_id":"coordinate_geometry_1336_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.25","point_pair":"A-B","question_id":"coordinate_geometry_1336_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1336_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1336_q4","question_text":"The distance from point A to point B is 8.25 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"6.08","question_id":"coordinate_geometry_1336_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1336} -{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"B-C":4.47},"all_pairwise_midpoints":{"A-B":[-1.5,-3.0],"A-C":[-0.5,-1.0],"B-C":[0.0,0.0]},"canvas_size":[539,534],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1337","image_path":"images/coordinate_geometry_1337.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-2,-4],"B":[-1,-2],"C":[1,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, -2)","point_label":"B","question_id":"coordinate_geometry_1337_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.47","point_pair":"B-C","question_id":"coordinate_geometry_1337_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0, 0)","point_pair":"B-C","question_id":"coordinate_geometry_1337_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-2","question_id":"coordinate_geometry_1337_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.16","question_id":"coordinate_geometry_1337_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1337} -{"all_pairwise_distances":{"A-B":2.24,"A-C":8.94,"A-D":8.06,"B-C":6.71,"B-D":6.32,"C-D":5.0},"all_pairwise_midpoints":{"A-B":[1.5,1.0],"A-C":[3.0,4.0],"A-D":[0.5,4.0],"B-C":[3.5,5.0],"B-D":[1.0,5.0],"C-D":[2.5,8.0]},"canvas_size":[549,544],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1338","image_path":"images/coordinate_geometry_1338.png","is_collinear_triple":true,"num_points":4,"points":{"A":[1,0],"B":[2,2],"C":[5,8],"D":[0,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, 0)","point_label":"A","question_id":"coordinate_geometry_1338_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.06","point_pair":"A-D","question_id":"coordinate_geometry_1338_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2.5, 8)","point_pair":"C-D","question_id":"coordinate_geometry_1338_q3","question_text":"What are the coordinates of the midpoint between point C and point D?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1338_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.21","question_id":"coordinate_geometry_1339_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1339} -{"all_pairwise_distances":{"A-B":5.66,"A-C":8.49,"B-C":2.83},"all_pairwise_midpoints":{"A-B":[-4.0,0.0],"A-C":[-3.0,1.0],"B-C":[-1.0,3.0]},"canvas_size":[522,534],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1340","image_path":"images/coordinate_geometry_1340.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-6,-2],"B":[-2,2],"C":[0,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, -2)","point_label":"A","question_id":"coordinate_geometry_1340_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.83","point_pair":"B-C","question_id":"coordinate_geometry_1340_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_1340_q3","question_text":"Which two points are closest together? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_1408_q4","question_text":"The distance from point A to point B is 14.76 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.87","question_id":"coordinate_geometry_1408_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1408} -{"all_pairwise_distances":{"A-B":14.04,"A-C":12.08,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[0.0,7.5],"A-C":[-1.5,4.5],"B-C":[5.5,5.0]},"canvas_size":[502,533],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1409","image_path":"images/coordinate_geometry_1409.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-7,7],"B":[7,8],"C":[4,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, 8)","point_label":"B","question_id":"coordinate_geometry_1409_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.08","point_pair":"A-C","question_id":"coordinate_geometry_1409_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_1409_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"4","question_id":"coordinate_geometry_1409_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"12.17","question_id":"coordinate_geometry_1409_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1409} -{"all_pairwise_distances":{"A-B":7.07,"A-C":4.0,"A-D":2.24,"B-C":3.16,"B-D":8.54,"C-D":5.39},"all_pairwise_midpoints":{"A-B":[0.5,-2.5],"A-C":[2.0,-3.0],"A-D":[4.5,-4.0],"B-C":[-1.5,-2.5],"B-D":[1.0,-3.5],"C-D":[2.5,-4.0]},"canvas_size":[518,522],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1410","image_path":"images/coordinate_geometry_1410.png","is_collinear_triple":false,"num_points":4,"points":{"A":[4,-3],"B":[-3,-2],"C":[0,-3],"D":[5,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, -3)","point_label":"C","question_id":"coordinate_geometry_1410_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.00","point_pair":"A-C","question_id":"coordinate_geometry_1410_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and D","question_id":"coordinate_geometry_1410_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.06","question_id":"coordinate_geometry_1411_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1411} -{"all_pairwise_distances":{"A-B":3.0,"A-C":8.25,"B-C":8.06},"all_pairwise_midpoints":{"A-B":[2.5,-4.0],"A-C":[2.0,0.0],"B-C":[3.5,0.0]},"canvas_size":[530,501],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1412","image_path":"images/coordinate_geometry_1412.png","is_collinear_triple":false,"num_points":3,"points":{"A":[1,-4],"B":[4,-4],"C":[3,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, -4)","point_label":"B","question_id":"coordinate_geometry_1412_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.25","point_pair":"A-C","question_id":"coordinate_geometry_1412_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2.5, -4)","point_pair":"A-B","question_id":"coordinate_geometry_1412_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABC","question_id":"coordinate_geometry_1412_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"2","question_id":"coordinate_geometry_1417_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.42","question_id":"coordinate_geometry_1417_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1417} -{"all_pairwise_distances":{"A-B":5.0,"A-C":11.18,"B-C":6.32},"all_pairwise_midpoints":{"A-B":[1.5,5.0],"A-C":[2.5,2.0],"B-C":[4.0,0.0]},"canvas_size":[549,501],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1418","image_path":"images/coordinate_geometry_1418.png","is_collinear_triple":false,"num_points":3,"points":{"A":[0,7],"B":[3,3],"C":[5,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, 3)","point_label":"B","question_id":"coordinate_geometry_1418_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.00","point_pair":"A-B","question_id":"coordinate_geometry_1418_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1418_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"8","question_id":"coordinate_geometry_1418_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.16","question_id":"coordinate_geometry_1418_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1418} -{"all_pairwise_distances":{"A-B":8.54,"A-C":5.83,"A-D":7.21,"B-C":3.0,"B-D":7.28,"C-D":7.07},"all_pairwise_midpoints":{"A-B":[5.5,-2.0],"A-C":[5.5,-0.5],"A-D":[2.0,-1.0],"B-C":[7.0,-4.5],"B-D":[3.5,-5.0],"C-D":[3.5,-3.5]},"canvas_size":[536,532],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1419","image_path":"images/coordinate_geometry_1419.png","is_collinear_triple":false,"num_points":4,"points":{"A":[4,2],"B":[7,-6],"C":[7,-3],"D":[0,-4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, -3)","point_label":"C","question_id":"coordinate_geometry_1419_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.83","point_pair":"A-C","question_id":"coordinate_geometry_1419_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(5.5, -2)","point_pair":"A-B","question_id":"coordinate_geometry_1419_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1419_q4","question_text":"The distance from point A to point B is 8.54 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.07","question_id":"coordinate_geometry_1419_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1419} -{"all_pairwise_distances":{"A-B":5.39},"all_pairwise_midpoints":{"A-B":[5.5,-7.0]},"canvas_size":[546,526],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1420","image_path":"images/coordinate_geometry_1420.png","is_collinear_triple":false,"num_points":2,"points":{"A":[3,-8],"B":[8,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, -8)","point_label":"A","question_id":"coordinate_geometry_1420_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.39","point_pair":"A-B","question_id":"coordinate_geometry_1420_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(5.5, -7)","point_pair":"A-B","question_id":"coordinate_geometry_1420_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1420_q4","question_text":"The distance from point A to point B is 5.39 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.24","question_id":"coordinate_geometry_1420_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1420} -{"all_pairwise_distances":{"A-B":3.0,"A-C":2.83,"B-C":5.39},"all_pairwise_midpoints":{"A-B":[-1.5,-2.0],"A-C":[-4.0,-1.0],"B-C":[-2.5,-1.0]},"canvas_size":[503,535],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1421","image_path":"images/coordinate_geometry_1421.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-3,-2],"B":[0,-2],"C":[-5,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, -2)","point_label":"A","question_id":"coordinate_geometry_1421_q1","question_text":"What are the coordinates of point 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new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1421} -{"all_pairwise_distances":{"A-B":19.8,"A-C":14.14,"A-D":10.44,"B-C":12.0,"B-D":11.7,"C-D":4.12},"all_pairwise_midpoints":{"A-B":[-1.0,-1.0],"A-C":[5.0,-1.0],"A-D":[4.5,1.0],"B-C":[-2.0,-8.0],"B-D":[-2.5,-6.0],"C-D":[3.5,-6.0]},"canvas_size":[513,530],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1422","image_path":"images/coordinate_geometry_1422.png","is_collinear_triple":false,"num_points":4,"points":{"A":[6,6],"B":[-8,-8],"C":[4,-8],"D":[3,-4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 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-{"all_pairwise_distances":{"A-B":13.45},"all_pairwise_midpoints":{"A-B":[-2.0,1.5]},"canvas_size":[528,531],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1423","image_path":"images/coordinate_geometry_1423.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-7,-3],"B":[3,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, -3)","point_label":"A","question_id":"coordinate_geometry_1423_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.45","point_pair":"A-B","question_id":"coordinate_geometry_1423_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1423_q3","question_text":"Which two points are farthest together? 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-{"all_pairwise_distances":{"A-B":10.0,"A-C":7.21,"A-D":6.08,"B-C":15.23,"B-D":10.82,"C-D":13.0},"all_pairwise_midpoints":{"A-B":[1.0,2.0],"A-C":[-6.0,-1.0],"A-D":[-3.5,5.0],"B-C":[-1.0,-1.0],"B-D":[1.5,5.0],"C-D":[-5.5,2.0]},"canvas_size":[520,500],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1425","image_path":"images/coordinate_geometry_1425.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-4,2],"B":[6,2],"C":[-8,-4],"D":[-3,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 2)","point_label":"A","question_id":"coordinate_geometry_1425_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.08","point_pair":"A-D","question_id":"coordinate_geometry_1425_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-5.5, 2)","point_pair":"C-D","question_id":"coordinate_geometry_1425_q3","question_text":"What are the coordinates of the midpoint between point C and point D?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-9","question_id":"coordinate_geometry_1425_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.06","question_id":"coordinate_geometry_1425_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1425} -{"all_pairwise_distances":{"A-B":14.32},"all_pairwise_midpoints":{"A-B":[1.5,-5.0]},"canvas_size":[505,540],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1426","image_path":"images/coordinate_geometry_1426.png","is_collinear_triple":false,"num_points":2,"points":{"A":[8,-2],"B":[-5,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, -8)","point_label":"B","question_id":"coordinate_geometry_1426_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.32","point_pair":"A-B","question_id":"coordinate_geometry_1426_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(1.5, -5)","point_pair":"A-B","question_id":"coordinate_geometry_1426_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"3","question_id":"coordinate_geometry_1426_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.81","question_id":"coordinate_geometry_1426_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1426} -{"all_pairwise_distances":{"A-B":8.6,"A-C":5.83,"B-C":10.77},"all_pairwise_midpoints":{"A-B":[1.5,0.5],"A-C":[-3.5,2.5],"B-C":[-1.0,-1.0]},"canvas_size":[548,500],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1427","image_path":"images/coordinate_geometry_1427.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-1,4],"B":[4,-3],"C":[-6,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, 1)","point_label":"C","question_id":"coordinate_geometry_1427_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.60","point_pair":"A-B","question_id":"coordinate_geometry_1427_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-1, -1)","point_pair":"B-C","question_id":"coordinate_geometry_1427_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABC","question_id":"coordinate_geometry_1427_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? Answer yes or no.","question_type":"triple_collinearity"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"6.71","question_id":"coordinate_geometry_1427_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1427} -{"all_pairwise_distances":{"A-B":7.62,"A-C":8.6,"A-D":11.4,"B-C":8.0,"B-D":4.47,"C-D":12.17},"all_pairwise_midpoints":{"A-B":[-1.5,0.5],"A-C":[-5.5,0.5],"A-D":[0.5,1.5],"B-C":[-4.0,4.0],"B-D":[2.0,5.0],"C-D":[-2.0,5.0]},"canvas_size":[533,532],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1428","image_path":"images/coordinate_geometry_1428.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-3,-3],"B":[0,4],"C":[-8,4],"D":[4,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, 4)","point_label":"B","question_id":"coordinate_geometry_1428_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.60","point_pair":"A-C","question_id":"coordinate_geometry_1428_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"C and D","question_id":"coordinate_geometry_1428_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABD","question_id":"coordinate_geometry_1428_q4","question_text":"Are points A, B, and D collinear (do they lie on one straight line)? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1429_q4","question_text":"The distance from point A to point B is 8.06 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.00","question_id":"coordinate_geometry_1429_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1429} -{"all_pairwise_distances":{"A-B":4.24,"A-C":12.08,"B-C":8.25},"all_pairwise_midpoints":{"A-B":[-1.5,2.5],"A-C":[2.5,3.5],"B-C":[4.0,5.0]},"canvas_size":[518,541],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1430","image_path":"images/coordinate_geometry_1430.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-3,1],"B":[0,4],"C":[8,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, 6)","point_label":"C","question_id":"coordinate_geometry_1430_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.08","point_pair":"A-C","question_id":"coordinate_geometry_1430_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2.5, 3.5)","point_pair":"A-C","question_id":"coordinate_geometry_1430_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABC","question_id":"coordinate_geometry_1430_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.28","question_id":"coordinate_geometry_1432_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1432} -{"all_pairwise_distances":{"A-B":11.18,"A-C":12.0,"B-C":12.21},"all_pairwise_midpoints":{"A-B":[-1.0,-3.5],"A-C":[-6.0,0.0],"B-C":[-1.0,2.5]},"canvas_size":[546,506],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1433","image_path":"images/coordinate_geometry_1433.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-6,-6],"B":[4,-1],"C":[-6,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, -6)","point_label":"A","question_id":"coordinate_geometry_1433_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.00","point_pair":"A-C","question_id":"coordinate_geometry_1433_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1433_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-C","question_id":"coordinate_geometry_1433_q4","question_text":"The distance from point A to point C is 12.00 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.00","question_id":"coordinate_geometry_1433_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1433} -{"all_pairwise_distances":{"A-B":14.04,"A-C":11.4,"A-D":3.0,"B-C":14.87,"B-D":14.56,"C-D":14.32},"all_pairwise_midpoints":{"A-B":[-3.5,-1.0],"A-C":[1.5,4.5],"A-D":[-5.5,6.0],"B-C":[2.0,-2.5],"B-D":[-5.0,-1.0],"C-D":[0.0,4.5]},"canvas_size":[500,530],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1434","image_path":"images/coordinate_geometry_1434.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-4,6],"B":[-3,-8],"C":[7,3],"D":[-7,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, -8)","point_label":"B","question_id":"coordinate_geometry_1434_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.87","point_pair":"B-C","question_id":"coordinate_geometry_1434_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2, -2.5)","point_pair":"B-C","question_id":"coordinate_geometry_1434_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABD","question_id":"coordinate_geometry_1434_q4","question_text":"Are points A, B, and D collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.54","question_id":"coordinate_geometry_1435_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1435} -{"all_pairwise_distances":{"A-B":3.16,"A-C":11.05,"B-C":12.17},"all_pairwise_midpoints":{"A-B":[-6.5,6.5],"A-C":[-0.5,5.5],"B-C":[-1.0,7.0]},"canvas_size":[550,520],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1436","image_path":"images/coordinate_geometry_1436.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-6,5],"B":[-7,8],"C":[5,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, 8)","point_label":"B","question_id":"coordinate_geometry_1436_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"3.16","point_pair":"A-B","question_id":"coordinate_geometry_1436_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-6.5, 6.5)","point_pair":"A-B","question_id":"coordinate_geometry_1436_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABC","question_id":"coordinate_geometry_1436_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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-{"all_pairwise_distances":{"A-B":4.47,"A-C":3.61,"A-D":5.83,"B-C":4.12,"B-D":5.1,"C-D":2.24},"all_pairwise_midpoints":{"A-B":[1.0,3.0],"A-C":[0.5,5.0],"A-D":[1.5,5.5],"B-C":[2.5,4.0],"B-D":[3.5,4.5],"C-D":[3.0,6.5]},"canvas_size":[513,549],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1437","image_path":"images/coordinate_geometry_1437.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-1,4],"B":[3,2],"C":[2,6],"D":[4,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, 4)","point_label":"A","question_id":"coordinate_geometry_1437_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.12","point_pair":"B-C","question_id":"coordinate_geometry_1437_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2.5, 4)","point_pair":"B-C","question_id":"coordinate_geometry_1437_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"8","question_id":"coordinate_geometry_1437_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.24","question_id":"coordinate_geometry_1437_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new 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A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"3.61","point_pair":"A-B","question_id":"coordinate_geometry_1438_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(6, -6.5)","point_pair":"A-B","question_id":"coordinate_geometry_1438_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"12","question_id":"coordinate_geometry_1438_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.47","question_id":"coordinate_geometry_1438_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new 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D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.40","point_pair":"B-D","question_id":"coordinate_geometry_1461_q2","question_text":"What is the distance between point B and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-1, 1.5)","point_pair":"A-C","question_id":"coordinate_geometry_1461_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-6","question_id":"coordinate_geometry_1461_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.24","question_id":"coordinate_geometry_1461_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new 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C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.81","point_pair":"B-C","question_id":"coordinate_geometry_1469_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(3.5, 3.5)","point_pair":"A-B","question_id":"coordinate_geometry_1469_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"2","question_id":"coordinate_geometry_1469_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.82","question_id":"coordinate_geometry_1469_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.21","question_id":"coordinate_geometry_1494_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1494} -{"all_pairwise_distances":{"A-B":12.53},"all_pairwise_midpoints":{"A-B":[2.5,-4.0]},"canvas_size":[527,542],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1495","image_path":"images/coordinate_geometry_1495.png","is_collinear_triple":false,"num_points":2,"points":{"A":[8,-1],"B":[-3,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, -1)","point_label":"A","question_id":"coordinate_geometry_1495_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.53","point_pair":"A-B","question_id":"coordinate_geometry_1495_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2.5, -4)","point_pair":"A-B","question_id":"coordinate_geometry_1495_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"5","question_id":"coordinate_geometry_1495_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"13.93","question_id":"coordinate_geometry_1495_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1495} -{"all_pairwise_distances":{"A-B":10.77,"A-C":8.25,"B-C":16.97},"all_pairwise_midpoints":{"A-B":[1.0,2.0],"A-C":[7.0,-4.0],"B-C":[2.0,-2.0]},"canvas_size":[504,500],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1496","image_path":"images/coordinate_geometry_1496.png","is_collinear_triple":false,"num_points":3,"points":{"A":[6,0],"B":[-4,4],"C":[8,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 4)","point_label":"B","question_id":"coordinate_geometry_1496_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.25","point_pair":"A-C","question_id":"coordinate_geometry_1496_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1496_q3","question_text":"Which two points are closest together? 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-{"all_pairwise_distances":{"A-B":12.65},"all_pairwise_midpoints":{"A-B":[-1.0,-1.0]},"canvas_size":[540,514],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1501","image_path":"images/coordinate_geometry_1501.png","is_collinear_triple":false,"num_points":2,"points":{"A":[5,-3],"B":[-7,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, 1)","point_label":"B","question_id":"coordinate_geometry_1501_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.65","point_pair":"A-B","question_id":"coordinate_geometry_1501_q2","question_text":"What is the distance 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-{"all_pairwise_distances":{"A-B":4.0,"A-C":7.0,"B-C":3.0},"all_pairwise_midpoints":{"A-B":[-1.0,0.0],"A-C":[0.5,0.0],"B-C":[2.5,0.0]},"canvas_size":[510,533],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1502","image_path":"images/coordinate_geometry_1502.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-3,0],"B":[1,0],"C":[4,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, 0)","point_label":"A","question_id":"coordinate_geometry_1502_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.00","point_pair":"A-C","question_id":"coordinate_geometry_1502_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2.5, 0)","point_pair":"B-C","question_id":"coordinate_geometry_1502_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"2","question_id":"coordinate_geometry_1502_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.24","question_id":"coordinate_geometry_1502_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1505_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? Answer yes or no.","question_type":"triple_collinearity"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.00","question_id":"coordinate_geometry_1505_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1505} -{"all_pairwise_distances":{"A-B":2.24,"A-C":11.18,"A-D":13.6,"B-C":8.94,"B-D":11.4,"C-D":3.16},"all_pairwise_midpoints":{"A-B":[-7.0,0.5],"A-C":[-3.0,-1.5],"A-D":[-1.5,-1.0],"B-C":[-2.0,-2.0],"B-D":[-0.5,-1.5],"C-D":[3.5,-3.5]},"canvas_size":[511,530],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1506","image_path":"images/coordinate_geometry_1506.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-8,1],"B":[-6,0],"C":[2,-4],"D":[5,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(2, -4)","point_label":"C","question_id":"coordinate_geometry_1506_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_1506_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1506_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1506_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.49","question_id":"coordinate_geometry_1507_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1507} -{"all_pairwise_distances":{"A-B":2.83,"A-C":7.07,"B-C":4.24},"all_pairwise_midpoints":{"A-B":[-4.0,2.0],"A-C":[-2.5,0.5],"B-C":[-1.5,-0.5]},"canvas_size":[519,536],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1508","image_path":"images/coordinate_geometry_1508.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-5,3],"B":[-3,1],"C":[0,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, -2)","point_label":"C","question_id":"coordinate_geometry_1508_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.24","point_pair":"B-C","question_id":"coordinate_geometry_1508_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-2.5, 0.5)","point_pair":"A-C","question_id":"coordinate_geometry_1508_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1508_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.12","question_id":"coordinate_geometry_1509_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1509} -{"all_pairwise_distances":{"A-B":9.43},"all_pairwise_midpoints":{"A-B":[0.0,3.5]},"canvas_size":[525,530],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1510","image_path":"images/coordinate_geometry_1510.png","is_collinear_triple":false,"num_points":2,"points":{"A":[4,1],"B":[-4,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 1)","point_label":"A","question_id":"coordinate_geometry_1510_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"9.43","point_pair":"A-B","question_id":"coordinate_geometry_1510_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0, 3.5)","point_pair":"A-B","question_id":"coordinate_geometry_1510_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"0","question_id":"coordinate_geometry_1510_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.66","question_id":"coordinate_geometry_1510_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1510} -{"all_pairwise_distances":{"A-B":6.71,"A-C":8.94,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[1.5,3.0],"A-C":[2.0,4.0],"B-C":[3.5,7.0]},"canvas_size":[511,543],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1511","image_path":"images/coordinate_geometry_1511.png","is_collinear_triple":true,"num_points":3,"points":{"A":[0,0],"B":[3,6],"C":[4,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, 0)","point_label":"A","question_id":"coordinate_geometry_1511_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"B-C","question_id":"coordinate_geometry_1511_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2, 4)","point_pair":"A-C","question_id":"coordinate_geometry_1511_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1511_q4","question_text":"The distance from point A to point B is 6.71 units. 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.00","question_id":"coordinate_geometry_1512_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1512} -{"all_pairwise_distances":{"A-B":7.62},"all_pairwise_midpoints":{"A-B":[-0.5,-1.5]},"canvas_size":[534,545],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1513","image_path":"images/coordinate_geometry_1513.png","is_collinear_triple":false,"num_points":2,"points":{"A":[1,-5],"B":[-2,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, -5)","point_label":"A","question_id":"coordinate_geometry_1513_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.62","point_pair":"A-B","question_id":"coordinate_geometry_1513_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1513_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.00","question_id":"coordinate_geometry_1528_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1528} -{"all_pairwise_distances":{"A-B":10.2,"A-C":6.4,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[1.0,4.0],"A-C":[-2.0,5.5],"B-C":[3.0,6.5]},"canvas_size":[521,507],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1529","image_path":"images/coordinate_geometry_1529.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-4,3],"B":[6,5],"C":[0,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, 5)","point_label":"B","question_id":"coordinate_geometry_1529_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"B-C","question_id":"coordinate_geometry_1529_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1529_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"2","question_id":"coordinate_geometry_1529_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.54","question_id":"coordinate_geometry_1529_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1529} -{"all_pairwise_distances":{"A-B":7.07,"A-C":13.93,"A-D":13.04,"B-C":12.17,"B-D":10.0,"C-D":2.83},"all_pairwise_midpoints":{"A-B":[3.5,-6.5],"A-C":[2.5,-0.5],"A-D":[3.5,-1.5],"B-C":[6.0,0.0],"B-D":[7.0,-1.0],"C-D":[6.0,5.0]},"canvas_size":[502,529],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1530","image_path":"images/coordinate_geometry_1530.png","is_collinear_triple":false,"num_points":4,"points":{"A":[0,-7],"B":[7,-6],"C":[5,6],"D":[7,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, -7)","point_label":"A","question_id":"coordinate_geometry_1530_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.04","point_pair":"A-D","question_id":"coordinate_geometry_1530_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1530_q3","question_text":"Which two points are farthest together? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-3","question_id":"coordinate_geometry_1531_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.12","question_id":"coordinate_geometry_1531_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1531} -{"all_pairwise_distances":{"A-B":11.4,"A-C":3.16,"B-C":10.0},"all_pairwise_midpoints":{"A-B":[2.5,-0.5],"A-C":[2.5,-5.5],"B-C":[4.0,0.0]},"canvas_size":[511,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1532","image_path":"images/coordinate_geometry_1532.png","is_collinear_triple":false,"num_points":3,"points":{"A":[1,-6],"B":[4,5],"C":[4,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, -5)","point_label":"C","question_id":"coordinate_geometry_1532_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.00","point_pair":"B-C","question_id":"coordinate_geometry_1532_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1532_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.21","question_id":"coordinate_geometry_1533_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1533} -{"all_pairwise_distances":{"A-B":8.54},"all_pairwise_midpoints":{"A-B":[0.0,1.5]},"canvas_size":[522,539],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1534","image_path":"images/coordinate_geometry_1534.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-4,3],"B":[4,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 0)","point_label":"B","question_id":"coordinate_geometry_1534_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.54","point_pair":"A-B","question_id":"coordinate_geometry_1534_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1534_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"6.32","question_id":"coordinate_geometry_1534_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1534} -{"all_pairwise_distances":{"A-B":5.66,"A-C":12.21,"B-C":12.53},"all_pairwise_midpoints":{"A-B":[-5.0,1.0],"A-C":[-2.0,-4.5],"B-C":[0.0,-2.5]},"canvas_size":[519,534],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1535","image_path":"images/coordinate_geometry_1535.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-7,-1],"B":[-3,3],"C":[3,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, 3)","point_label":"B","question_id":"coordinate_geometry_1535_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.53","point_pair":"B-C","question_id":"coordinate_geometry_1535_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_1535_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.06","question_id":"coordinate_geometry_1573_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1573} -{"all_pairwise_distances":{"A-B":4.47,"A-C":11.18,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[0.0,5.0],"A-C":[1.5,2.0],"B-C":[2.5,0.0]},"canvas_size":[530,508],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1574","image_path":"images/coordinate_geometry_1574.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-1,7],"B":[1,3],"C":[4,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, 3)","point_label":"B","question_id":"coordinate_geometry_1574_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.47","point_pair":"A-B","question_id":"coordinate_geometry_1574_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1574_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1574_q4","question_text":"The distance from point A to point B is 4.47 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.00","question_id":"coordinate_geometry_1574_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1574} -{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"A-D":5.39,"B-C":4.47,"B-D":7.21,"C-D":11.31},"all_pairwise_midpoints":{"A-B":[0.0,-1.5],"A-C":[2.0,-0.5],"A-D":[-2.0,-4.5],"B-C":[3.0,0.0],"B-D":[-1.0,-4.0],"C-D":[1.0,-3.0]},"canvas_size":[514,506],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1575","image_path":"images/coordinate_geometry_1575.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-1,-2],"B":[1,-1],"C":[5,1],"D":[-3,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, -2)","point_label":"A","question_id":"coordinate_geometry_1575_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.39","point_pair":"A-D","question_id":"coordinate_geometry_1575_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-1, -4)","point_pair":"B-D","question_id":"coordinate_geometry_1575_q3","question_text":"What are the coordinates of the midpoint between point B and point D?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-C","question_id":"coordinate_geometry_1575_q4","question_text":"The distance from point A to point C is 6.71 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.00","question_id":"coordinate_geometry_1575_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1575} -{"all_pairwise_distances":{"A-B":6.71},"all_pairwise_midpoints":{"A-B":[5.0,4.5]},"canvas_size":[544,519],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1576","image_path":"images/coordinate_geometry_1576.png","is_collinear_triple":false,"num_points":2,"points":{"A":[8,3],"B":[2,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, 3)","point_label":"A","question_id":"coordinate_geometry_1576_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-B","question_id":"coordinate_geometry_1576_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(5, 4.5)","point_pair":"A-B","question_id":"coordinate_geometry_1576_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"10","question_id":"coordinate_geometry_1576_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.94","question_id":"coordinate_geometry_1576_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1576} -{"all_pairwise_distances":{"A-B":2.24,"A-C":13.42,"B-C":11.18},"all_pairwise_midpoints":{"A-B":[-3.5,-4.0],"A-C":[-1.0,1.0],"B-C":[-0.5,2.0]},"canvas_size":[550,518],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1577","image_path":"images/coordinate_geometry_1577.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-4,-5],"B":[-3,-3],"C":[2,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(2, 7)","point_label":"C","question_id":"coordinate_geometry_1577_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_1577_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1577_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.10","question_id":"coordinate_geometry_1578_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1578} -{"all_pairwise_distances":{"A-B":12.04},"all_pairwise_midpoints":{"A-B":[-1.5,3.0]},"canvas_size":[507,547],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1579","image_path":"images/coordinate_geometry_1579.png","is_collinear_triple":false,"num_points":2,"points":{"A":[3,7],"B":[-6,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, -1)","point_label":"B","question_id":"coordinate_geometry_1579_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.04","point_pair":"A-B","question_id":"coordinate_geometry_1579_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1579_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"13.04","question_id":"coordinate_geometry_1579_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1579} -{"all_pairwise_distances":{"A-B":6.71,"A-C":11.18,"B-C":4.47},"all_pairwise_midpoints":{"A-B":[1.0,2.5],"A-C":[3.0,3.5],"B-C":[6.0,5.0]},"canvas_size":[508,500],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1580","image_path":"images/coordinate_geometry_1580.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-2,1],"B":[4,4],"C":[8,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 4)","point_label":"B","question_id":"coordinate_geometry_1580_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-B","question_id":"coordinate_geometry_1580_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_1580_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.10","question_id":"coordinate_geometry_1654_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1654} -{"all_pairwise_distances":{"A-B":8.49,"A-C":5.39,"B-C":11.7},"all_pairwise_midpoints":{"A-B":[-5.0,0.0],"A-C":[-3.0,5.5],"B-C":[-6.0,2.5]},"canvas_size":[532,506],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1655","image_path":"images/coordinate_geometry_1655.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-2,3],"B":[-8,-3],"C":[-4,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 8)","point_label":"C","question_id":"coordinate_geometry_1655_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.70","point_pair":"B-C","question_id":"coordinate_geometry_1655_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-5, 0)","point_pair":"A-B","question_id":"coordinate_geometry_1655_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-14","question_id":"coordinate_geometry_1655_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.43","question_id":"coordinate_geometry_1655_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1655} -{"all_pairwise_distances":{"A-B":9.43,"A-C":7.81,"A-D":8.06,"B-C":11.4,"B-D":4.0,"C-D":7.62},"all_pairwise_midpoints":{"A-B":[2.5,2.0],"A-C":[-3.0,3.5],"A-D":[0.5,2.0],"B-C":[-0.5,-0.5],"B-D":[3.0,-2.0],"C-D":[-2.5,-0.5]},"canvas_size":[546,531],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1656","image_path":"images/coordinate_geometry_1656.png","is_collinear_triple":false,"num_points":4,"points":{"A":[0,6],"B":[5,-2],"C":[-6,1],"D":[1,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, -2)","point_label":"B","question_id":"coordinate_geometry_1656_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.06","point_pair":"A-D","question_id":"coordinate_geometry_1656_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-3, 3.5)","point_pair":"A-C","question_id":"coordinate_geometry_1656_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"BCD","question_id":"coordinate_geometry_1656_q4","question_text":"Are points B, C, and D collinear (do they lie on one straight line)? Answer yes or no.","question_type":"triple_collinearity"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.62","question_id":"coordinate_geometry_1656_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1656} -{"all_pairwise_distances":{"A-B":10.2},"all_pairwise_midpoints":{"A-B":[7.0,0.0]},"canvas_size":[545,529],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1657","image_path":"images/coordinate_geometry_1657.png","is_collinear_triple":false,"num_points":2,"points":{"A":[6,-5],"B":[8,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, -5)","point_label":"A","question_id":"coordinate_geometry_1657_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.20","point_pair":"A-B","question_id":"coordinate_geometry_1657_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1657_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_1657_q4","question_text":"The distance from point A to point B is 10.20 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.00","question_id":"coordinate_geometry_1657_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1657} -{"all_pairwise_distances":{"A-B":5.39,"A-C":7.0,"B-C":10.3},"all_pairwise_midpoints":{"A-B":[4.0,-0.5],"A-C":[-0.5,2.0],"B-C":[0.5,-0.5]},"canvas_size":[545,528],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1658","image_path":"images/coordinate_geometry_1658.png","is_collinear_triple":false,"num_points":3,"points":{"A":[3,2],"B":[5,-3],"C":[-4,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, -3)","point_label":"B","question_id":"coordinate_geometry_1658_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.30","point_pair":"B-C","question_id":"coordinate_geometry_1658_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1658_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"4","question_id":"coordinate_geometry_1658_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.00","question_id":"coordinate_geometry_1658_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1658} -{"all_pairwise_distances":{"A-B":3.61,"A-C":12.08,"A-D":2.24,"B-C":9.22,"B-D":5.1,"C-D":12.21},"all_pairwise_midpoints":{"A-B":[2.0,-3.5],"A-C":[-2.5,-4.5],"A-D":[2.5,-1.0],"B-C":[-3.5,-6.0],"B-D":[1.5,-2.5],"C-D":[-3.0,-3.5]},"canvas_size":[528,516],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1659","image_path":"images/coordinate_geometry_1659.png","is_collinear_triple":false,"num_points":4,"points":{"A":[3,-2],"B":[1,-5],"C":[-8,-7],"D":[2,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-8, -7)","point_label":"C","question_id":"coordinate_geometry_1659_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-D","question_id":"coordinate_geometry_1659_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"C and D","question_id":"coordinate_geometry_1659_q3","question_text":"Which two points are farthest together? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_1660_q4","question_text":"The distance from point A to point B is 12.37 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"13.93","question_id":"coordinate_geometry_1660_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1660} -{"all_pairwise_distances":{"A-B":9.22,"A-C":8.06,"B-C":2.83},"all_pairwise_midpoints":{"A-B":[-4.0,3.5],"A-C":[-5.0,4.5],"B-C":[-6.0,0.0]},"canvas_size":[530,550],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1661","image_path":"images/coordinate_geometry_1661.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-3,8],"B":[-5,-1],"C":[-7,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, 8)","point_label":"A","question_id":"coordinate_geometry_1661_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"9.22","point_pair":"A-B","question_id":"coordinate_geometry_1661_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1661_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.94","question_id":"coordinate_geometry_1661_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1661} -{"all_pairwise_distances":{"A-B":5.83,"A-C":11.4,"A-D":8.94,"B-C":16.97,"B-D":14.76,"C-D":5.1},"all_pairwise_midpoints":{"A-B":[2.5,3.5],"A-C":[-3.5,-2.5],"A-D":[-4.0,0.0],"B-C":[-1.0,-1.0],"B-D":[-1.5,1.5],"C-D":[-7.5,-4.5]},"canvas_size":[544,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1662","image_path":"images/coordinate_geometry_1662.png","is_collinear_triple":false,"num_points":4,"points":{"A":[0,2],"B":[5,5],"C":[-7,-7],"D":[-8,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, 2)","point_label":"A","question_id":"coordinate_geometry_1662_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"16.97","point_pair":"B-C","question_id":"coordinate_geometry_1662_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"C and D","question_id":"coordinate_geometry_1662_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.07","question_id":"coordinate_geometry_1663_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1663} -{"all_pairwise_distances":{"A-B":9.9,"A-C":8.0,"B-C":7.07},"all_pairwise_midpoints":{"A-B":[4.5,-4.5],"A-C":[1.0,-4.0],"B-C":[4.5,-0.5]},"canvas_size":[547,525],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1664","image_path":"images/coordinate_geometry_1664.png","is_collinear_triple":false,"num_points":3,"points":{"A":[1,-8],"B":[8,-1],"C":[1,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, -8)","point_label":"A","question_id":"coordinate_geometry_1664_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.00","point_pair":"A-C","question_id":"coordinate_geometry_1664_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(4.5, -4.5)","point_pair":"A-B","question_id":"coordinate_geometry_1664_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"10","question_id":"coordinate_geometry_1664_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.43","question_id":"coordinate_geometry_1664_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1664} -{"all_pairwise_distances":{"A-B":8.25,"A-C":8.06,"A-D":14.32,"B-C":12.21,"B-D":7.81,"C-D":13.93},"all_pairwise_midpoints":{"A-B":[-3.0,2.0],"A-C":[2.0,5.5],"A-D":[-0.5,-1.0],"B-C":[1.0,1.5],"B-D":[-1.5,-5.0],"C-D":[3.5,-1.5]},"canvas_size":[534,528],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1665","image_path":"images/coordinate_geometry_1665.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-2,6],"B":[-4,-2],"C":[6,5],"D":[1,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, 5)","point_label":"C","question_id":"coordinate_geometry_1665_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.32","point_pair":"A-D","question_id":"coordinate_geometry_1665_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and D","question_id":"coordinate_geometry_1665_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABD","question_id":"coordinate_geometry_1665_q4","question_text":"Are points A, B, and D collinear (do they lie on one straight line)? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1666_q4","question_text":"The distance from point A to point B is 8.94 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.22","question_id":"coordinate_geometry_1666_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1666} -{"all_pairwise_distances":{"A-B":14.56,"A-C":15.03,"B-C":3.16},"all_pairwise_midpoints":{"A-B":[2.0,1.0],"A-C":[3.5,0.5],"B-C":[1.5,-6.5]},"canvas_size":[531,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1667","image_path":"images/coordinate_geometry_1667.png","is_collinear_triple":false,"num_points":3,"points":{"A":[4,8],"B":[0,-6],"C":[3,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, -7)","point_label":"C","question_id":"coordinate_geometry_1667_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.56","point_pair":"A-B","question_id":"coordinate_geometry_1667_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(1.5, -6.5)","point_pair":"B-C","question_id":"coordinate_geometry_1667_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABC","question_id":"coordinate_geometry_1667_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_1669_q4","question_text":"The distance from point A to point B is 10.05 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.05","question_id":"coordinate_geometry_1669_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1669} -{"all_pairwise_distances":{"A-B":15.0,"A-C":7.62,"B-C":9.22},"all_pairwise_midpoints":{"A-B":[0.5,-2.0],"A-C":[1.5,2.5],"B-C":[-3.0,-3.5]},"canvas_size":[550,526],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1670","image_path":"images/coordinate_geometry_1670.png","is_collinear_triple":false,"num_points":3,"points":{"A":[5,4],"B":[-4,-8],"C":[-2,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -8)","point_label":"B","question_id":"coordinate_geometry_1670_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.62","point_pair":"A-C","question_id":"coordinate_geometry_1670_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1670_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.52","question_id":"coordinate_geometry_1709_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1709} -{"all_pairwise_distances":{"A-B":4.12,"A-C":9.43,"A-D":8.06,"B-C":7.21,"B-D":9.49,"C-D":7.62},"all_pairwise_midpoints":{"A-B":[0.5,-1.0],"A-C":[-2.5,1.0],"A-D":[-4.0,-2.5],"B-C":[-2.0,3.0],"B-D":[-3.5,-0.5],"C-D":[-6.5,1.5]},"canvas_size":[524,538],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1710","image_path":"images/coordinate_geometry_1710.png","is_collinear_triple":false,"num_points":4,"points":{"A":[0,-3],"B":[1,1],"C":[-5,5],"D":[-8,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 5)","point_label":"C","question_id":"coordinate_geometry_1710_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.06","point_pair":"A-D","question_id":"coordinate_geometry_1710_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1710_q3","question_text":"Which two points are closest together? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"5","question_id":"coordinate_geometry_1732_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.10","question_id":"coordinate_geometry_1732_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1732} -{"all_pairwise_distances":{"A-B":4.12,"A-C":9.49,"B-C":8.06},"all_pairwise_midpoints":{"A-B":[-7.5,-5.0],"A-C":[-3.5,-5.5],"B-C":[-3.0,-3.5]},"canvas_size":[508,533],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1733","image_path":"images/coordinate_geometry_1733.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-8,-7],"B":[-7,-3],"C":[1,-4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-8, -7)","point_label":"A","question_id":"coordinate_geometry_1733_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.06","point_pair":"B-C","question_id":"coordinate_geometry_1733_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-3.5, -5.5)","point_pair":"A-C","question_id":"coordinate_geometry_1733_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-14","question_id":"coordinate_geometry_1733_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.10","question_id":"coordinate_geometry_1733_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1733} -{"all_pairwise_distances":{"A-B":4.47,"A-C":2.24,"A-D":10.63,"B-C":6.4,"B-D":9.85,"C-D":10.3},"all_pairwise_midpoints":{"A-B":[3.0,-1.0],"A-C":[1.0,-3.5],"A-D":[-1.5,1.0],"B-C":[2.0,-1.5],"B-D":[-0.5,3.0],"C-D":[-2.5,0.5]},"canvas_size":[507,524],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1734","image_path":"images/coordinate_geometry_1734.png","is_collinear_triple":false,"num_points":4,"points":{"A":[2,-3],"B":[4,1],"C":[0,-4],"D":[-5,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, 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image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.00","question_id":"coordinate_geometry_1734_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1734} -{"all_pairwise_distances":{"A-B":14.21},"all_pairwise_midpoints":{"A-B":[-0.5,-1.5]},"canvas_size":[527,542],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1735","image_path":"images/coordinate_geometry_1735.png","is_collinear_triple":false,"num_points":2,"points":{"A":[4,4],"B":[-5,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, -7)","point_label":"B","question_id":"coordinate_geometry_1735_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.21","point_pair":"A-B","question_id":"coordinate_geometry_1735_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1735_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.07","question_id":"coordinate_geometry_1736_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1736} -{"all_pairwise_distances":{"A-B":3.0,"A-C":8.06,"A-D":14.14,"B-C":11.05,"B-D":14.87,"C-D":14.32},"all_pairwise_midpoints":{"A-B":[-3.5,6.0],"A-C":[2.0,5.5],"A-D":[-1.0,-1.0],"B-C":[0.5,5.5],"B-D":[-2.5,-1.0],"C-D":[3.0,-1.5]},"canvas_size":[510,543],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1737","image_path":"images/coordinate_geometry_1737.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-2,6],"B":[-5,6],"C":[6,5],"D":[0,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 6)","point_label":"B","question_id":"coordinate_geometry_1737_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.06","point_pair":"A-C","question_id":"coordinate_geometry_1737_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-2.5, -1)","point_pair":"B-D","question_id":"coordinate_geometry_1737_q3","question_text":"What are the coordinates of the midpoint between point B and point D?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABC","question_id":"coordinate_geometry_1737_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.70","question_id":"coordinate_geometry_1755_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1755} -{"all_pairwise_distances":{"A-B":5.83},"all_pairwise_midpoints":{"A-B":[5.5,4.5]},"canvas_size":[548,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1756","image_path":"images/coordinate_geometry_1756.png","is_collinear_triple":false,"num_points":2,"points":{"A":[7,2],"B":[4,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 7)","point_label":"B","question_id":"coordinate_geometry_1756_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.83","point_pair":"A-B","question_id":"coordinate_geometry_1756_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1756_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.47","question_id":"coordinate_geometry_1758_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1758} -{"all_pairwise_distances":{"A-B":13.6},"all_pairwise_midpoints":{"A-B":[-5.0,-1.5]},"canvas_size":[548,528],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1759","image_path":"images/coordinate_geometry_1759.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-3,5],"B":[-7,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, -8)","point_label":"B","question_id":"coordinate_geometry_1759_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.60","point_pair":"A-B","question_id":"coordinate_geometry_1759_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1759_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.05","question_id":"coordinate_geometry_1774_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1774} -{"all_pairwise_distances":{"A-B":13.04,"A-C":9.49,"B-C":12.81},"all_pairwise_midpoints":{"A-B":[-0.5,3.5],"A-C":[-5.5,-0.5],"B-C":[1.0,-1.0]},"canvas_size":[524,506],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1775","image_path":"images/coordinate_geometry_1775.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-7,4],"B":[6,3],"C":[-4,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -5)","point_label":"C","question_id":"coordinate_geometry_1775_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.81","point_pair":"B-C","question_id":"coordinate_geometry_1775_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1775_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-5","question_id":"coordinate_geometry_1775_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.00","question_id":"coordinate_geometry_1775_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1775} -{"all_pairwise_distances":{"A-B":2.83,"A-C":13.04,"A-D":9.43,"B-C":12.73,"B-D":6.71,"C-D":12.37},"all_pairwise_midpoints":{"A-B":[-4.0,4.0],"A-C":[0.5,-0.5],"A-D":[-1.0,5.5],"B-C":[1.5,0.5],"B-D":[0.0,6.5],"C-D":[4.5,2.0]},"canvas_size":[539,537],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1776","image_path":"images/coordinate_geometry_1776.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-5,3],"B":[-3,5],"C":[6,-4],"D":[3,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, -4)","point_label":"C","question_id":"coordinate_geometry_1776_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.04","point_pair":"A-C","question_id":"coordinate_geometry_1776_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1776_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"BCD","question_id":"coordinate_geometry_1776_q4","question_text":"Are points B, C, and D collinear (do they lie on one straight line)? Answer yes or no.","question_type":"triple_collinearity"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.00","question_id":"coordinate_geometry_1776_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1776} -{"all_pairwise_distances":{"A-B":8.06},"all_pairwise_midpoints":{"A-B":[-3.0,-4.5]},"canvas_size":[537,523],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1777","image_path":"images/coordinate_geometry_1777.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-1,-8],"B":[-5,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, -8)","point_label":"A","question_id":"coordinate_geometry_1777_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.06","point_pair":"A-B","question_id":"coordinate_geometry_1777_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1777_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-6","question_id":"coordinate_geometry_1777_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.00","question_id":"coordinate_geometry_1777_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1777} -{"all_pairwise_distances":{"A-B":6.32,"A-C":11.05,"B-C":5.1},"all_pairwise_midpoints":{"A-B":[-3.0,-5.0],"A-C":[-3.5,-2.5],"B-C":[-2.5,0.5]},"canvas_size":[503,508],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1778","image_path":"images/coordinate_geometry_1778.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-4,-8],"B":[-2,-2],"C":[-3,3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -8)","point_label":"A","question_id":"coordinate_geometry_1778_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.10","point_pair":"B-C","question_id":"coordinate_geometry_1778_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1778_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.00","question_id":"coordinate_geometry_1778_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1778} -{"all_pairwise_distances":{"A-B":5.39,"A-C":12.04,"A-D":10.0,"B-C":7.21,"B-D":9.43,"C-D":9.22},"all_pairwise_midpoints":{"A-B":[-6.0,4.5],"A-C":[-3.0,2.5],"A-D":[-2.0,7.0],"B-C":[-2.0,0.0],"B-D":[-1.0,4.5],"C-D":[2.0,2.5]},"canvas_size":[532,517],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1779","image_path":"images/coordinate_geometry_1779.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-7,7],"B":[-5,2],"C":[1,-2],"D":[3,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, 7)","point_label":"D","question_id":"coordinate_geometry_1779_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"9.43","point_pair":"B-D","question_id":"coordinate_geometry_1779_q2","question_text":"What is the distance between point B and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1779_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.00","question_id":"coordinate_geometry_1779_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1779} -{"all_pairwise_distances":{"A-B":3.61},"all_pairwise_midpoints":{"A-B":[3.5,5.0]},"canvas_size":[533,500],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1780","image_path":"images/coordinate_geometry_1780.png","is_collinear_triple":false,"num_points":2,"points":{"A":[2,6],"B":[5,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(2, 6)","point_label":"A","question_id":"coordinate_geometry_1780_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"3.61","point_pair":"A-B","question_id":"coordinate_geometry_1780_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1780_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"1.41","question_id":"coordinate_geometry_1780_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1780} -{"all_pairwise_distances":{"A-B":4.24,"A-C":8.06,"B-C":4.12},"all_pairwise_midpoints":{"A-B":[-0.5,-2.5],"A-C":[-1.0,-4.5],"B-C":[-2.5,-6.0]},"canvas_size":[505,529],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1781","image_path":"images/coordinate_geometry_1781.png","is_collinear_triple":false,"num_points":3,"points":{"A":[1,-1],"B":[-2,-4],"C":[-3,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, -8)","point_label":"C","question_id":"coordinate_geometry_1781_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.12","point_pair":"B-C","question_id":"coordinate_geometry_1781_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-2.5, -6)","point_pair":"B-C","question_id":"coordinate_geometry_1781_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABC","question_id":"coordinate_geometry_1781_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.25","question_id":"coordinate_geometry_1782_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1782} -{"all_pairwise_distances":{"A-B":10.05},"all_pairwise_midpoints":{"A-B":[3.0,-6.5]},"canvas_size":[531,524],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1783","image_path":"images/coordinate_geometry_1783.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-2,-6],"B":[8,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, -6)","point_label":"A","question_id":"coordinate_geometry_1783_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.05","point_pair":"A-B","question_id":"coordinate_geometry_1783_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(3, -6.5)","point_pair":"A-B","question_id":"coordinate_geometry_1783_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"6","question_id":"coordinate_geometry_1783_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.00","question_id":"coordinate_geometry_1783_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1783} -{"all_pairwise_distances":{"A-B":16.28,"A-C":5.0,"B-C":17.89},"all_pairwise_midpoints":{"A-B":[-2.0,-2.5],"A-C":[6.0,1.5],"B-C":[0.0,-4.0]},"canvas_size":[503,502],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1784","image_path":"images/coordinate_geometry_1784.png","is_collinear_triple":false,"num_points":3,"points":{"A":[4,3],"B":[-8,-8],"C":[8,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, 0)","point_label":"C","question_id":"coordinate_geometry_1784_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"17.89","point_pair":"B-C","question_id":"coordinate_geometry_1784_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1784_q3","question_text":"Which two points are closest together? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"12","question_id":"coordinate_geometry_1828_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.00","question_id":"coordinate_geometry_1828_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1828} -{"all_pairwise_distances":{"A-B":6.71,"A-C":5.0,"B-C":3.16},"all_pairwise_midpoints":{"A-B":[-1.5,0.0],"A-C":[-3.0,-0.5],"B-C":[-1.5,2.5]},"canvas_size":[522,545],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1829","image_path":"images/coordinate_geometry_1829.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-3,-3],"B":[0,3],"C":[-3,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, -3)","point_label":"A","question_id":"coordinate_geometry_1829_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.00","point_pair":"A-C","question_id":"coordinate_geometry_1829_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1829_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABC","question_id":"coordinate_geometry_1829_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.26","question_id":"coordinate_geometry_1831_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1831} -{"all_pairwise_distances":{"A-B":11.4,"A-C":8.94,"B-C":5.1},"all_pairwise_midpoints":{"A-B":[-3.5,4.5],"A-C":[-6.0,4.0],"B-C":[-1.5,0.5]},"canvas_size":[531,546],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1832","image_path":"images/coordinate_geometry_1832.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-8,8],"B":[1,1],"C":[-4,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, 1)","point_label":"B","question_id":"coordinate_geometry_1832_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.10","point_pair":"B-C","question_id":"coordinate_geometry_1832_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-6, 4)","point_pair":"A-C","question_id":"coordinate_geometry_1832_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABC","question_id":"coordinate_geometry_1832_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"3","question_id":"coordinate_geometry_1859_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.49","question_id":"coordinate_geometry_1859_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1859} -{"all_pairwise_distances":{"A-B":12.17,"A-C":4.47,"A-D":9.49,"B-C":8.0,"B-D":3.16,"C-D":5.1},"all_pairwise_midpoints":{"A-B":[7.0,-2.0],"A-C":[7.0,2.0],"A-D":[6.5,-0.5],"B-C":[6.0,-4.0],"B-D":[5.5,-6.5],"C-D":[5.5,-2.5]},"canvas_size":[539,522],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1860","image_path":"images/coordinate_geometry_1860.png","is_collinear_triple":false,"num_points":4,"points":{"A":[8,4],"B":[6,-8],"C":[6,0],"D":[5,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, 4)","point_label":"A","question_id":"coordinate_geometry_1860_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.10","point_pair":"C-D","question_id":"coordinate_geometry_1860_q2","question_text":"What is the distance between point C and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and D","question_id":"coordinate_geometry_1860_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABD","question_id":"coordinate_geometry_1860_q4","question_text":"Are points A, B, and D collinear (do they lie on one straight line)? Answer yes or no.","question_type":"triple_collinearity"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.70","question_id":"coordinate_geometry_1860_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1860} -{"all_pairwise_distances":{"A-B":14.32},"all_pairwise_midpoints":{"A-B":[4.0,1.5]},"canvas_size":[550,538],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1861","image_path":"images/coordinate_geometry_1861.png","is_collinear_triple":false,"num_points":2,"points":{"A":[7,8],"B":[1,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, -5)","point_label":"B","question_id":"coordinate_geometry_1861_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.32","point_pair":"A-B","question_id":"coordinate_geometry_1861_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1861_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_1861_q4","question_text":"The distance from point A to point B is 14.32 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.42","question_id":"coordinate_geometry_1861_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1861} -{"all_pairwise_distances":{"A-B":8.94,"A-C":15.65,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[-3.0,3.0],"A-C":[0.0,1.5],"B-C":[4.0,-0.5]},"canvas_size":[517,537],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1862","image_path":"images/coordinate_geometry_1862.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-7,5],"B":[1,1],"C":[7,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, 1)","point_label":"B","question_id":"coordinate_geometry_1862_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"B-C","question_id":"coordinate_geometry_1862_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_1862_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"16.12","question_id":"coordinate_geometry_1864_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1864} -{"all_pairwise_distances":{"A-B":3.0,"A-C":7.0,"B-C":4.0},"all_pairwise_midpoints":{"A-B":[-0.5,0.0],"A-C":[1.5,0.0],"B-C":[3.0,0.0]},"canvas_size":[544,510],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1865","image_path":"images/coordinate_geometry_1865.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-2,0],"B":[1,0],"C":[5,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, 0)","point_label":"C","question_id":"coordinate_geometry_1865_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.00","point_pair":"B-C","question_id":"coordinate_geometry_1865_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1865_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.06","question_id":"coordinate_geometry_1867_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1867} -{"all_pairwise_distances":{"A-B":2.24,"A-C":8.94,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[-3.5,3.0],"A-C":[-2.0,0.0],"B-C":[-1.5,-1.0]},"canvas_size":[538,529],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1868","image_path":"images/coordinate_geometry_1868.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-4,4],"B":[-3,2],"C":[0,-4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 4)","point_label":"A","question_id":"coordinate_geometry_1868_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.94","point_pair":"A-C","question_id":"coordinate_geometry_1868_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1868_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.62","question_id":"coordinate_geometry_1968_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1968} -{"all_pairwise_distances":{"A-B":8.06},"all_pairwise_midpoints":{"A-B":[-5.0,-0.5]},"canvas_size":[525,544],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1969","image_path":"images/coordinate_geometry_1969.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-3,-4],"B":[-7,3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, -4)","point_label":"A","question_id":"coordinate_geometry_1969_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.06","point_pair":"A-B","question_id":"coordinate_geometry_1969_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1969_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.00","question_id":"coordinate_geometry_1969_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1969} -{"all_pairwise_distances":{"A-B":5.0,"A-C":14.14,"B-C":14.32},"all_pairwise_midpoints":{"A-B":[-3.5,1.0],"A-C":[3.0,-2.0],"B-C":[1.5,-4.0]},"canvas_size":[508,541],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1970","image_path":"images/coordinate_geometry_1970.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-2,3],"B":[-5,-1],"C":[8,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, 3)","point_label":"A","question_id":"coordinate_geometry_1970_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.32","point_pair":"B-C","question_id":"coordinate_geometry_1970_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1970_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.83","question_id":"coordinate_geometry_1970_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1970} -{"all_pairwise_distances":{"A-B":14.76,"A-C":6.4,"A-D":2.24,"B-C":15.0,"B-D":12.53,"C-D":6.32},"all_pairwise_midpoints":{"A-B":[-1.5,0.5],"A-C":[4.5,-4.0],"A-D":[1.5,-5.0],"B-C":[1.0,2.5],"B-D":[-2.0,1.5],"C-D":[4.0,-3.0]},"canvas_size":[512,504],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1971","image_path":"images/coordinate_geometry_1971.png","is_collinear_triple":false,"num_points":4,"points":{"A":[2,-6],"B":[-5,7],"C":[7,-2],"D":[1,-4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, -2)","point_label":"C","question_id":"coordinate_geometry_1971_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.40","point_pair":"A-C","question_id":"coordinate_geometry_1971_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(4.5, -4)","point_pair":"A-C","question_id":"coordinate_geometry_1971_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"C-D","question_id":"coordinate_geometry_1971_q4","question_text":"The distance from point C to point D is 6.32 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"16.64","question_id":"coordinate_geometry_1971_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1971} -{"all_pairwise_distances":{"A-B":9.49},"all_pairwise_midpoints":{"A-B":[-3.5,-3.5]},"canvas_size":[540,549],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1972","image_path":"images/coordinate_geometry_1972.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-2,1],"B":[-5,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, -8)","point_label":"B","question_id":"coordinate_geometry_1972_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"9.49","point_pair":"A-B","question_id":"coordinate_geometry_1972_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1972_q3","question_text":"Which two points are farthest together? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1978_q4","question_text":"The distance from point A to point B is 7.28 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.00","question_id":"coordinate_geometry_1978_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1978} -{"all_pairwise_distances":{"A-B":11.18,"A-C":16.28,"B-C":5.1},"all_pairwise_midpoints":{"A-B":[-5.0,-2.5],"A-C":[-5.5,0.0],"B-C":[-6.5,5.5]},"canvas_size":[505,533],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1979","image_path":"images/coordinate_geometry_1979.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-4,-8],"B":[-6,3],"C":[-7,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, 8)","point_label":"C","question_id":"coordinate_geometry_1979_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.18","point_pair":"A-B","question_id":"coordinate_geometry_1979_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1979_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"12.65","question_id":"coordinate_geometry_1979_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1979} -{"all_pairwise_distances":{"A-B":16.64,"A-C":10.44,"A-D":13.0,"B-C":11.05,"B-D":14.56,"C-D":4.24},"all_pairwise_midpoints":{"A-B":[1.0,0.5],"A-C":[6.5,0.0],"A-D":[8.0,-1.5],"B-C":[-0.5,-4.5],"B-D":[1.0,-6.0],"C-D":[6.5,-6.5]},"canvas_size":[500,524],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1980","image_path":"images/coordinate_geometry_1980.png","is_collinear_triple":false,"num_points":4,"points":{"A":[8,5],"B":[-6,-4],"C":[5,-5],"D":[8,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, -5)","point_label":"C","question_id":"coordinate_geometry_1980_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.56","point_pair":"B-D","question_id":"coordinate_geometry_1980_q2","question_text":"What is the distance between point B and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1980_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"17.89","question_id":"coordinate_geometry_1980_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1980} -{"all_pairwise_distances":{"A-B":7.0},"all_pairwise_midpoints":{"A-B":[-0.5,-4.0]},"canvas_size":[511,506],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1981","image_path":"images/coordinate_geometry_1981.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-4,-4],"B":[3,-4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, -4)","point_label":"B","question_id":"coordinate_geometry_1981_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.00","point_pair":"A-B","question_id":"coordinate_geometry_1981_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-0.5, -4)","point_pair":"A-B","question_id":"coordinate_geometry_1981_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-1","question_id":"coordinate_geometry_1981_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.10","question_id":"coordinate_geometry_1981_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1981} -{"all_pairwise_distances":{"A-B":6.71,"A-C":8.94,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[3.0,-0.5],"A-C":[4.0,-1.0],"B-C":[7.0,-2.5]},"canvas_size":[550,550],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1982","image_path":"images/coordinate_geometry_1982.png","is_collinear_triple":true,"num_points":3,"points":{"A":[0,1],"B":[6,-2],"C":[8,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, 1)","point_label":"A","question_id":"coordinate_geometry_1982_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"B-C","question_id":"coordinate_geometry_1982_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1982_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.07","question_id":"coordinate_geometry_1985_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1985} -{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"A-D":5.0,"B-C":4.47,"B-D":7.07,"C-D":11.4},"all_pairwise_midpoints":{"A-B":[-1.5,-4.0],"A-C":[-0.5,-2.0],"A-D":[-4.0,-6.5],"B-C":[0.0,-1.0],"B-D":[-3.5,-5.5],"C-D":[-2.5,-3.5]},"canvas_size":[516,538],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1986","image_path":"images/coordinate_geometry_1986.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-2,-5],"B":[-1,-3],"C":[1,1],"D":[-6,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, -8)","point_label":"D","question_id":"coordinate_geometry_1986_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_1986_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0, -1)","point_pair":"B-C","question_id":"coordinate_geometry_1986_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"BCD","question_id":"coordinate_geometry_1986_q4","question_text":"Are points B, C, and D collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.81","question_id":"coordinate_geometry_1988_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1988} -{"all_pairwise_distances":{"A-B":11.18,"A-C":13.42,"A-D":12.37,"B-C":2.24,"B-D":2.83,"C-D":3.0},"all_pairwise_midpoints":{"A-B":[1.0,-0.5],"A-C":[2.0,0.0],"A-D":[2.0,-1.5],"B-C":[7.0,2.5],"B-D":[7.0,1.0],"C-D":[8.0,1.5]},"canvas_size":[536,510],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1989","image_path":"images/coordinate_geometry_1989.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-4,-3],"B":[6,2],"C":[8,3],"D":[8,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -3)","point_label":"A","question_id":"coordinate_geometry_1989_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.37","point_pair":"A-D","question_id":"coordinate_geometry_1989_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(8, 1.5)","point_pair":"C-D","question_id":"coordinate_geometry_1989_q3","question_text":"What are the coordinates of the midpoint between point C and point D?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1989_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"1","question_id":"coordinate_geometry_2060_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.66","question_id":"coordinate_geometry_2060_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2060} -{"all_pairwise_distances":{"A-B":2.24,"A-C":13.42,"A-D":13.6,"B-C":11.18,"B-D":12.08,"C-D":10.05},"all_pairwise_midpoints":{"A-B":[-7.0,-0.5],"A-C":[-2.0,2.0],"A-D":[-1.5,-3.0],"B-C":[-1.0,2.5],"B-D":[-0.5,-2.5],"C-D":[4.5,0.0]},"canvas_size":[523,540],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2061","image_path":"images/coordinate_geometry_2061.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-8,-1],"B":[-6,0],"C":[4,5],"D":[5,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, -5)","point_label":"D","question_id":"coordinate_geometry_2061_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.42","point_pair":"A-C","question_id":"coordinate_geometry_2061_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-1, 2.5)","point_pair":"B-C","question_id":"coordinate_geometry_2061_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-C","question_id":"coordinate_geometry_2061_q4","question_text":"The distance from point A to point C is 13.42 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.00","question_id":"coordinate_geometry_2061_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2061} -{"all_pairwise_distances":{"A-B":9.0},"all_pairwise_midpoints":{"A-B":[1.5,8.0]},"canvas_size":[521,539],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2062","image_path":"images/coordinate_geometry_2062.png","is_collinear_triple":false,"num_points":2,"points":{"A":[6,8],"B":[-3,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, 8)","point_label":"B","question_id":"coordinate_geometry_2062_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"9.00","point_pair":"A-B","question_id":"coordinate_geometry_2062_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2062_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.66","question_id":"coordinate_geometry_2065_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2065} -{"all_pairwise_distances":{"A-B":2.24,"A-C":15.65,"B-C":13.42},"all_pairwise_midpoints":{"A-B":[-3.5,-6.0],"A-C":[-0.5,0.0],"B-C":[0.0,1.0]},"canvas_size":[545,507],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2066","image_path":"images/coordinate_geometry_2066.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-4,-7],"B":[-3,-5],"C":[3,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -7)","point_label":"A","question_id":"coordinate_geometry_2066_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_2066_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2066_q3","question_text":"Which two points are closest together? 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-{"all_pairwise_distances":{"A-B":11.66},"all_pairwise_midpoints":{"A-B":[3.0,3.0]},"canvas_size":[540,546],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2086","image_path":"images/coordinate_geometry_2086.png","is_collinear_triple":false,"num_points":2,"points":{"A":[0,-2],"B":[6,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, -2)","point_label":"A","question_id":"coordinate_geometry_2086_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.66","point_pair":"A-B","question_id":"coordinate_geometry_2086_q2","question_text":"What is the distance between 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-{"all_pairwise_distances":{"A-B":13.89,"A-C":12.37,"B-C":4.0},"all_pairwise_midpoints":{"A-B":[-0.5,0.0],"A-C":[-2.5,0.0],"B-C":[1.0,-6.0]},"canvas_size":[508,515],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2087","image_path":"images/coordinate_geometry_2087.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-4,6],"B":[3,-6],"C":[-1,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, -6)","point_label":"C","question_id":"coordinate_geometry_2087_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.00","point_pair":"B-C","question_id":"coordinate_geometry_2087_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-0.5, 0)","point_pair":"A-B","question_id":"coordinate_geometry_2087_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-2","question_id":"coordinate_geometry_2087_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"12.08","question_id":"coordinate_geometry_2087_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.25","question_id":"coordinate_geometry_2091_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2091} -{"all_pairwise_distances":{"A-B":7.07},"all_pairwise_midpoints":{"A-B":[1.5,3.5]},"canvas_size":[550,546],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2092","image_path":"images/coordinate_geometry_2092.png","is_collinear_triple":false,"num_points":2,"points":{"A":[5,4],"B":[-2,3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, 3)","point_label":"B","question_id":"coordinate_geometry_2092_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.07","point_pair":"A-B","question_id":"coordinate_geometry_2092_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2092_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"19.21","question_id":"coordinate_geometry_2167_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2167} -{"all_pairwise_distances":{"A-B":2.24,"A-C":8.94,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[-1.0,0.5],"A-C":[2.0,2.0],"B-C":[3.0,2.5]},"canvas_size":[506,538],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2168","image_path":"images/coordinate_geometry_2168.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-2,0],"B":[0,1],"C":[6,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, 0)","point_label":"A","question_id":"coordinate_geometry_2168_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.94","point_pair":"A-C","question_id":"coordinate_geometry_2168_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2168_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.49","question_id":"coordinate_geometry_2202_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2202} -{"all_pairwise_distances":{"A-B":8.94},"all_pairwise_midpoints":{"A-B":[6.0,-3.0]},"canvas_size":[534,548],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2203","image_path":"images/coordinate_geometry_2203.png","is_collinear_triple":false,"num_points":2,"points":{"A":[8,1],"B":[4,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, 1)","point_label":"A","question_id":"coordinate_geometry_2203_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.94","point_pair":"A-B","question_id":"coordinate_geometry_2203_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(6, -3)","point_pair":"A-B","question_id":"coordinate_geometry_2203_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_2203_q4","question_text":"The distance from point A to point B is 8.94 units. 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.44","question_id":"coordinate_geometry_2212_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2212} -{"all_pairwise_distances":{"A-B":10.0,"A-C":8.25,"B-C":8.0},"all_pairwise_midpoints":{"A-B":[-1.0,3.0],"A-C":[-1.0,-1.0],"B-C":[-5.0,2.0]},"canvas_size":[519,533],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2213","image_path":"images/coordinate_geometry_2213.png","is_collinear_triple":false,"num_points":3,"points":{"A":[3,0],"B":[-5,6],"C":[-5,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 6)","point_label":"B","question_id":"coordinate_geometry_2213_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.25","point_pair":"A-C","question_id":"coordinate_geometry_2213_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-1, 3)","point_pair":"A-B","question_id":"coordinate_geometry_2213_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-7","question_id":"coordinate_geometry_2213_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"12.21","question_id":"coordinate_geometry_2213_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2213} -{"all_pairwise_distances":{"A-B":9.85,"A-C":3.61,"A-D":6.4,"B-C":9.9,"B-D":15.81,"C-D":6.32},"all_pairwise_midpoints":{"A-B":[3.0,-3.5],"A-C":[-0.5,0.0],"A-D":[-1.5,3.0],"B-C":[1.5,-4.5],"B-D":[0.5,-1.5],"C-D":[-3.0,2.0]},"canvas_size":[517,544],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2214","image_path":"images/coordinate_geometry_2214.png","is_collinear_triple":false,"num_points":4,"points":{"A":[1,1],"B":[5,-8],"C":[-2,-1],"D":[-4,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, -1)","point_label":"C","question_id":"coordinate_geometry_2214_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.40","point_pair":"A-D","question_id":"coordinate_geometry_2214_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_2214_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.82","question_id":"coordinate_geometry_2221_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2221} -{"all_pairwise_distances":{"A-B":8.94,"A-C":11.18,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[-4.0,-1.0],"A-C":[-3.0,-0.5],"B-C":[1.0,1.5]},"canvas_size":[513,517],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2222","image_path":"images/coordinate_geometry_2222.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-8,-3],"B":[0,1],"C":[2,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-8, -3)","point_label":"A","question_id":"coordinate_geometry_2222_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.94","point_pair":"A-B","question_id":"coordinate_geometry_2222_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_2222_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.81","question_id":"coordinate_geometry_2222_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2222} -{"all_pairwise_distances":{"A-B":2.24,"A-C":15.65,"A-D":5.0,"B-C":13.42,"B-D":3.16,"C-D":11.4},"all_pairwise_midpoints":{"A-B":[-7.0,-2.5],"A-C":[-1.0,0.5],"A-D":[-6.5,-1.0],"B-C":[0.0,1.0],"B-D":[-5.5,-0.5],"C-D":[0.5,2.5]},"canvas_size":[547,540],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2223","image_path":"images/coordinate_geometry_2223.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-8,-3],"B":[-6,-2],"C":[6,4],"D":[-5,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 1)","point_label":"D","question_id":"coordinate_geometry_2223_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_2223_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-6.5, -1)","point_pair":"A-D","question_id":"coordinate_geometry_2223_q3","question_text":"What are the coordinates of the midpoint between point A and point D?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-13","question_id":"coordinate_geometry_2223_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.00","question_id":"coordinate_geometry_2223_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2223} -{"all_pairwise_distances":{"A-B":15.56},"all_pairwise_midpoints":{"A-B":[2.5,-1.5]},"canvas_size":[547,544],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2224","image_path":"images/coordinate_geometry_2224.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-3,-7],"B":[8,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, -7)","point_label":"A","question_id":"coordinate_geometry_2224_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"15.56","point_pair":"A-B","question_id":"coordinate_geometry_2224_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2224_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.00","question_id":"coordinate_geometry_2224_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2224} -{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"B-C":4.47},"all_pairwise_midpoints":{"A-B":[-5.0,-4.5],"A-C":[-3.0,-3.5],"B-C":[-2.0,-3.0]},"canvas_size":[511,520],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2225","image_path":"images/coordinate_geometry_2225.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-6,-5],"B":[-4,-4],"C":[0,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, -5)","point_label":"A","question_id":"coordinate_geometry_2225_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_2225_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_2225_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.24","question_id":"coordinate_geometry_2294_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2294} -{"all_pairwise_distances":{"A-B":6.71,"A-C":8.94,"A-D":6.4,"B-C":2.24,"B-D":11.05,"C-D":13.0},"all_pairwise_midpoints":{"A-B":[3.0,-2.5],"A-C":[4.0,-3.0],"A-D":[-2.5,-3.0],"B-C":[7.0,-4.5],"B-D":[0.5,-4.5],"C-D":[1.5,-5.0]},"canvas_size":[517,535],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2295","image_path":"images/coordinate_geometry_2295.png","is_collinear_triple":true,"num_points":4,"points":{"A":[0,-1],"B":[6,-4],"C":[8,-5],"D":[-5,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, -5)","point_label":"C","question_id":"coordinate_geometry_2295_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.00","point_pair":"C-D","question_id":"coordinate_geometry_2295_q2","question_text":"What is the distance between point C and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"C and D","question_id":"coordinate_geometry_2295_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.10","question_id":"coordinate_geometry_2316_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2316} -{"all_pairwise_distances":{"A-B":6.32},"all_pairwise_midpoints":{"A-B":[-1.0,1.0]},"canvas_size":[524,506],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2317","image_path":"images/coordinate_geometry_2317.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-4,2],"B":[2,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(2, 0)","point_label":"B","question_id":"coordinate_geometry_2317_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.32","point_pair":"A-B","question_id":"coordinate_geometry_2317_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2317_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"6.00","question_id":"coordinate_geometry_2508_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2508} -{"all_pairwise_distances":{"A-B":16.03},"all_pairwise_midpoints":{"A-B":[-6.5,0.0]},"canvas_size":[531,500],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2509","image_path":"images/coordinate_geometry_2509.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-6,8],"B":[-7,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, 8)","point_label":"A","question_id":"coordinate_geometry_2509_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"16.03","point_pair":"A-B","question_id":"coordinate_geometry_2509_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-6.5, 0)","point_pair":"A-B","question_id":"coordinate_geometry_2509_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-13","question_id":"coordinate_geometry_2509_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.30","question_id":"coordinate_geometry_2509_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2509} -{"all_pairwise_distances":{"A-B":14.14,"A-C":11.0,"B-C":10.05},"all_pairwise_midpoints":{"A-B":[3.0,-1.0],"A-C":[2.5,4.0],"B-C":[-2.5,-1.0]},"canvas_size":[532,519],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2510","image_path":"images/coordinate_geometry_2510.png","is_collinear_triple":false,"num_points":3,"points":{"A":[8,4],"B":[-2,-6],"C":[-3,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, -6)","point_label":"B","question_id":"coordinate_geometry_2510_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.05","point_pair":"B-C","question_id":"coordinate_geometry_2510_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2510_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"6.71","question_id":"coordinate_geometry_2545_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2545} -{"all_pairwise_distances":{"A-B":4.47,"A-C":6.71,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[-3.0,2.0],"A-C":[-2.0,1.5],"B-C":[0.0,0.5]},"canvas_size":[521,502],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2546","image_path":"images/coordinate_geometry_2546.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-5,3],"B":[-1,1],"C":[1,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 3)","point_label":"A","question_id":"coordinate_geometry_2546_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-C","question_id":"coordinate_geometry_2546_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_2546_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.83","question_id":"coordinate_geometry_2554_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2554} -{"all_pairwise_distances":{"A-B":7.81,"A-C":14.32,"B-C":8.0},"all_pairwise_midpoints":{"A-B":[3.0,-2.5],"A-C":[3.0,1.5],"B-C":[0.0,4.0]},"canvas_size":[519,502],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2555","image_path":"images/coordinate_geometry_2555.png","is_collinear_triple":false,"num_points":3,"points":{"A":[6,-5],"B":[0,0],"C":[0,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, -5)","point_label":"A","question_id":"coordinate_geometry_2555_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.81","point_pair":"A-B","question_id":"coordinate_geometry_2555_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(3, 1.5)","point_pair":"A-C","question_id":"coordinate_geometry_2555_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"6","question_id":"coordinate_geometry_2555_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.00","question_id":"coordinate_geometry_2555_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2555} -{"all_pairwise_distances":{"A-B":7.21,"A-C":11.05,"A-D":10.77,"B-C":7.07,"B-D":14.14,"C-D":11.4},"all_pairwise_midpoints":{"A-B":[4.0,-2.0],"A-C":[1.5,0.5],"A-D":[-3.0,-3.0],"B-C":[3.5,3.5],"B-D":[-1.0,0.0],"C-D":[-3.5,2.5]},"canvas_size":[506,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2556","image_path":"images/coordinate_geometry_2556.png","is_collinear_triple":false,"num_points":4,"points":{"A":[2,-5],"B":[6,1],"C":[1,6],"D":[-8,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-8, -1)","point_label":"D","question_id":"coordinate_geometry_2556_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.05","point_pair":"A-C","question_id":"coordinate_geometry_2556_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_2556_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-D","question_id":"coordinate_geometry_2556_q4","question_text":"The distance from point A to point D is 10.77 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.28","question_id":"coordinate_geometry_2556_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2556} -{"all_pairwise_distances":{"A-B":5.0},"all_pairwise_midpoints":{"A-B":[-5.0,-1.5]},"canvas_size":[500,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2557","image_path":"images/coordinate_geometry_2557.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-7,0],"B":[-3,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, -3)","point_label":"B","question_id":"coordinate_geometry_2557_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.00","point_pair":"A-B","question_id":"coordinate_geometry_2557_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2557_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_2557_q4","question_text":"The distance from point A to point B is 5.00 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.83","question_id":"coordinate_geometry_2557_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2557} -{"all_pairwise_distances":{"A-B":11.7,"A-C":16.4,"B-C":14.14},"all_pairwise_midpoints":{"A-B":[-2.5,4.0],"A-C":[-1.5,-3.0],"B-C":[4.0,-1.0]},"canvas_size":[532,521],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2558","image_path":"images/coordinate_geometry_2558.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-8,2],"B":[3,6],"C":[5,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, -8)","point_label":"C","question_id":"coordinate_geometry_2558_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.70","point_pair":"A-B","question_id":"coordinate_geometry_2558_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2558_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.00","question_id":"coordinate_geometry_2559_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2559} -{"all_pairwise_distances":{"A-B":8.49},"all_pairwise_midpoints":{"A-B":[-1.0,2.0]},"canvas_size":[528,516],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2560","image_path":"images/coordinate_geometry_2560.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-4,5],"B":[2,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 5)","point_label":"A","question_id":"coordinate_geometry_2560_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.49","point_pair":"A-B","question_id":"coordinate_geometry_2560_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2560_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.32","question_id":"coordinate_geometry_2562_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2562} -{"all_pairwise_distances":{"A-B":9.06},"all_pairwise_midpoints":{"A-B":[-4.5,0.5]},"canvas_size":[535,547],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2563","image_path":"images/coordinate_geometry_2563.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-5,5],"B":[-4,-4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -4)","point_label":"B","question_id":"coordinate_geometry_2563_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"9.06","point_pair":"A-B","question_id":"coordinate_geometry_2563_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2563_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.06","question_id":"coordinate_geometry_2563_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2563} -{"all_pairwise_distances":{"A-B":7.0,"A-C":5.1,"B-C":7.81},"all_pairwise_midpoints":{"A-B":[8.0,-0.5],"A-C":[5.5,-3.5],"B-C":[5.5,0.0]},"canvas_size":[506,513],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2564","image_path":"images/coordinate_geometry_2564.png","is_collinear_triple":false,"num_points":3,"points":{"A":[8,-4],"B":[8,3],"C":[3,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, -4)","point_label":"A","question_id":"coordinate_geometry_2564_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.10","point_pair":"A-C","question_id":"coordinate_geometry_2564_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_2564_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.07","question_id":"coordinate_geometry_2566_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2566} -{"all_pairwise_distances":{"A-B":10.44,"A-C":6.71,"B-C":4.0},"all_pairwise_midpoints":{"A-B":[-3.0,4.5],"A-C":[-1.0,4.5],"B-C":[-6.0,6.0]},"canvas_size":[550,522],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2567","image_path":"images/coordinate_geometry_2567.png","is_collinear_triple":false,"num_points":3,"points":{"A":[2,3],"B":[-8,6],"C":[-4,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 6)","point_label":"C","question_id":"coordinate_geometry_2567_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.44","point_pair":"A-B","question_id":"coordinate_geometry_2567_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_2567_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.32","question_id":"coordinate_geometry_2578_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2578} -{"all_pairwise_distances":{"A-B":5.0,"A-C":4.12,"B-C":9.06},"all_pairwise_midpoints":{"A-B":[5.5,0.0],"A-C":[1.0,-0.5],"B-C":[3.5,-0.5]},"canvas_size":[544,542],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2579","image_path":"images/coordinate_geometry_2579.png","is_collinear_triple":false,"num_points":3,"points":{"A":[3,0],"B":[8,0],"C":[-1,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, -1)","point_label":"C","question_id":"coordinate_geometry_2579_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.00","point_pair":"A-B","question_id":"coordinate_geometry_2579_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_2579_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.24","question_id":"coordinate_geometry_2598_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2598} -{"all_pairwise_distances":{"A-B":6.4},"all_pairwise_midpoints":{"A-B":[0.0,1.5]},"canvas_size":[532,504],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2599","image_path":"images/coordinate_geometry_2599.png","is_collinear_triple":false,"num_points":2,"points":{"A":[2,-1],"B":[-2,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, 4)","point_label":"B","question_id":"coordinate_geometry_2599_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.40","point_pair":"A-B","question_id":"coordinate_geometry_2599_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2599_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"12.08","question_id":"coordinate_geometry_2608_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2608} -{"all_pairwise_distances":{"A-B":17.2,"A-C":16.64,"B-C":6.4},"all_pairwise_midpoints":{"A-B":[1.0,0.0],"A-C":[-1.0,2.5],"B-C":[-6.0,-4.5]},"canvas_size":[502,530],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2609","image_path":"images/coordinate_geometry_2609.png","is_collinear_triple":false,"num_points":3,"points":{"A":[6,7],"B":[-4,-7],"C":[-8,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -7)","point_label":"B","question_id":"coordinate_geometry_2609_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.40","point_pair":"B-C","question_id":"coordinate_geometry_2609_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_2609_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"17.69","question_id":"coordinate_geometry_2609_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2609} -{"all_pairwise_distances":{"A-B":3.0,"A-C":14.42,"A-D":11.18,"B-C":17.0,"B-D":14.14,"C-D":6.08},"all_pairwise_midpoints":{"A-B":[-5.0,6.5],"A-C":[-1.0,-1.0],"A-D":[-4.0,-0.5],"B-C":[-1.0,0.5],"B-D":[-4.0,1.0],"C-D":[0.0,-6.5]},"canvas_size":[531,524],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2610","image_path":"images/coordinate_geometry_2610.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-5,5],"B":[-5,8],"C":[3,-7],"D":[-3,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 8)","point_label":"B","question_id":"coordinate_geometry_2610_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"3.00","point_pair":"A-B","question_id":"coordinate_geometry_2610_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2610_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"6.32","question_id":"coordinate_geometry_2611_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2611} -{"all_pairwise_distances":{"A-B":7.21,"A-C":18.03,"B-C":11.7},"all_pairwise_midpoints":{"A-B":[2.0,-6.0],"A-C":[0.0,-0.5],"B-C":[-3.0,1.5]},"canvas_size":[511,543],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2612","image_path":"images/coordinate_geometry_2612.png","is_collinear_triple":false,"num_points":3,"points":{"A":[5,-8],"B":[-1,-4],"C":[-5,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, -4)","point_label":"B","question_id":"coordinate_geometry_2612_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"18.03","point_pair":"A-C","question_id":"coordinate_geometry_2612_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-3, 1.5)","point_pair":"B-C","question_id":"coordinate_geometry_2612_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-C","question_id":"coordinate_geometry_2612_q4","question_text":"The distance from point A to point C is 18.03 units. 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.76","question_id":"coordinate_geometry_2850_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2850} -{"all_pairwise_distances":{"A-B":6.71},"all_pairwise_midpoints":{"A-B":[-6.5,2.0]},"canvas_size":[520,510],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2851","image_path":"images/coordinate_geometry_2851.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-5,5],"B":[-8,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 5)","point_label":"A","question_id":"coordinate_geometry_2851_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-B","question_id":"coordinate_geometry_2851_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2851_q3","question_text":"Which two points are closest together? 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distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2854} -{"all_pairwise_distances":{"A-B":8.6,"A-C":2.83,"B-C":11.4},"all_pairwise_midpoints":{"A-B":[-4.5,2.5],"A-C":[0.0,-1.0],"B-C":[-3.5,1.5]},"canvas_size":[532,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2855","image_path":"images/coordinate_geometry_2855.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-1,0],"B":[-8,5],"C":[1,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-8, 5)","point_label":"B","question_id":"coordinate_geometry_2855_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.83","point_pair":"A-C","question_id":"coordinate_geometry_2855_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_2855_q3","question_text":"Which two points are closest together? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-4","question_id":"coordinate_geometry_2857_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"12.21","question_id":"coordinate_geometry_2857_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2857} -{"all_pairwise_distances":{"A-B":10.63,"A-C":5.83,"B-C":13.0},"all_pairwise_midpoints":{"A-B":[1.5,-1.0],"A-C":[-4.5,-3.5],"B-C":[-1.0,0.5]},"canvas_size":[538,514],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2858","image_path":"images/coordinate_geometry_2858.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-2,-5],"B":[5,3],"C":[-7,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, 3)","point_label":"B","question_id":"coordinate_geometry_2858_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.63","point_pair":"A-B","question_id":"coordinate_geometry_2858_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_2858_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.54","question_id":"coordinate_geometry_2861_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2861} -{"all_pairwise_distances":{"A-B":14.14,"A-C":8.0,"A-D":13.04,"B-C":6.32,"B-D":5.83,"C-D":7.62},"all_pairwise_midpoints":{"A-B":[1.0,0.0],"A-C":[4.0,-1.0],"A-D":[2.5,2.5],"B-C":[-3.0,0.0],"B-D":[-4.5,3.5],"C-D":[-1.5,2.5]},"canvas_size":[542,513],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2862","image_path":"images/coordinate_geometry_2862.png","is_collinear_triple":false,"num_points":4,"points":{"A":[8,-1],"B":[-6,1],"C":[0,-1],"D":[-3,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, 1)","point_label":"B","question_id":"coordinate_geometry_2862_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.83","point_pair":"B-D","question_id":"coordinate_geometry_2862_q2","question_text":"What is the distance between point B and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2862_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.32","question_id":"coordinate_geometry_2864_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2864} -{"all_pairwise_distances":{"A-B":5.83,"A-C":8.94,"A-D":5.1,"B-C":10.3,"B-D":10.77,"C-D":9.06},"all_pairwise_midpoints":{"A-B":[-0.5,-4.5],"A-C":[-5.0,-2.0],"A-D":[-5.5,-6.5],"B-C":[-2.5,-0.5],"B-D":[-3.0,-5.0],"C-D":[-7.5,-2.5]},"canvas_size":[538,508],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2865","image_path":"images/coordinate_geometry_2865.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-3,-6],"B":[2,-3],"C":[-7,2],"D":[-8,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, 2)","point_label":"C","question_id":"coordinate_geometry_2865_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.94","point_pair":"A-C","question_id":"coordinate_geometry_2865_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-5.5, -6.5)","point_pair":"A-D","question_id":"coordinate_geometry_2865_q3","question_text":"What are the coordinates of the midpoint between point A and point D?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"B-D","question_id":"coordinate_geometry_2865_q4","question_text":"The distance from point B to point D is 10.77 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.00","question_id":"coordinate_geometry_2865_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2865} -{"all_pairwise_distances":{"A-B":9.49},"all_pairwise_midpoints":{"A-B":[3.5,-0.5]},"canvas_size":[530,542],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2866","image_path":"images/coordinate_geometry_2866.png","is_collinear_triple":false,"num_points":2,"points":{"A":[2,4],"B":[5,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(2, 4)","point_label":"A","question_id":"coordinate_geometry_2866_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"9.49","point_pair":"A-B","question_id":"coordinate_geometry_2866_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2866_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.40","question_id":"coordinate_geometry_2952_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2952} -{"all_pairwise_distances":{"A-B":8.6},"all_pairwise_midpoints":{"A-B":[-2.5,5.5]},"canvas_size":[524,536],"collinear_labels":[],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2953","image_path":"images/coordinate_geometry_2953.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-6,3],"B":[1,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, 8)","point_label":"B","question_id":"coordinate_geometry_2953_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.60","point_pair":"A-B","question_id":"coordinate_geometry_2953_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2953_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-5","question_id":"coordinate_geometry_2953_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.81","question_id":"coordinate_geometry_2953_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2953} -{"all_pairwise_distances":{"A-B":2.24,"A-C":8.94,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[-1.5,0.0],"A-C":[0.0,3.0],"B-C":[0.5,4.0]},"canvas_size":[539,505],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2954","image_path":"images/coordinate_geometry_2954.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-2,-1],"B":[-1,1],"C":[2,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, -1)","point_label":"A","question_id":"coordinate_geometry_2954_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"B-C","question_id":"coordinate_geometry_2954_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_2954_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_2954_q4","question_text":"The distance from point A to point B is 2.24 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.16","question_id":"coordinate_geometry_2954_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2954} -{"all_pairwise_distances":{"A-B":8.94,"A-C":15.65,"A-D":10.82,"B-C":6.71,"B-D":5.39,"C-D":8.25},"all_pairwise_midpoints":{"A-B":[-4.0,1.0],"A-C":[-1.0,-0.5],"A-D":[-5.0,-1.5],"B-C":[3.0,-2.5],"B-D":[-1.0,-3.5],"C-D":[2.0,-5.0]},"canvas_size":[541,502],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2955","image_path":"images/coordinate_geometry_2955.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-8,3],"B":[0,-1],"C":[6,-4],"D":[-2,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, -1)","point_label":"B","question_id":"coordinate_geometry_2955_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.94","point_pair":"A-B","question_id":"coordinate_geometry_2955_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_2955_q3","question_text":"Which two points are farthest together? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_2956_q4","question_text":"The distance from point A to point B is 7.07 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.54","question_id":"coordinate_geometry_2956_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2956} -{"all_pairwise_distances":{"A-B":11.18,"A-C":13.42,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[1.5,-1.0],"A-C":[2.0,0.0],"B-C":[4.5,5.0]},"canvas_size":[501,522],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-4.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2957","image_path":"images/coordinate_geometry_2957.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-1,-6],"B":[4,4],"C":[5,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, -6)","point_label":"A","question_id":"coordinate_geometry_2957_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"B-C","question_id":"coordinate_geometry_2957_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_2957_q3","question_text":"Which two points are closest together? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-7","question_id":"coordinate_geometry_0036_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.00","question_id":"coordinate_geometry_0036_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":36} +{"all_pairwise_distances":{"A-B":5.1},"all_pairwise_midpoints":{"A-B":[-6.5,5.5]},"canvas_size":[543,538],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0037","image_path":"images/coordinate_geometry_0037.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-6,8],"B":[-7,3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, 3)","point_label":"B","question_id":"coordinate_geometry_0037_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.10","point_pair":"A-B","question_id":"coordinate_geometry_0037_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0037_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.81","question_id":"coordinate_geometry_0038_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":38} +{"all_pairwise_distances":{"A-B":4.47,"A-C":6.0,"A-D":13.15,"B-C":2.83,"B-D":12.53,"C-D":15.26},"all_pairwise_midpoints":{"A-B":[-1.0,-7.0],"A-C":[0.0,-8.0],"A-D":[-4.0,-1.5],"B-C":[2.0,-7.0],"B-D":[-2.0,-0.5],"C-D":[-1.0,-1.5]},"canvas_size":[513,516],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0039","image_path":"images/coordinate_geometry_0039.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-3,-8],"B":[1,-6],"C":[3,-8],"D":[-5,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, -8)","point_label":"C","question_id":"coordinate_geometry_0039_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.83","point_pair":"B-C","question_id":"coordinate_geometry_0039_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2, -7)","point_pair":"B-C","question_id":"coordinate_geometry_0039_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ACD","question_id":"coordinate_geometry_0039_q4","question_text":"Are points A, C, and D collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.18","question_id":"coordinate_geometry_0235_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":235} +{"all_pairwise_distances":{"A-B":13.04,"A-C":11.18,"B-C":3.61},"all_pairwise_midpoints":{"A-B":[0.5,3.5],"A-C":[1.5,2.0],"B-C":[-5.0,2.5]},"canvas_size":[543,523],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0236","image_path":"images/coordinate_geometry_0236.png","is_collinear_triple":false,"num_points":3,"points":{"A":[7,3],"B":[-6,4],"C":[-4,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 1)","point_label":"C","question_id":"coordinate_geometry_0236_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.04","point_pair":"A-B","question_id":"coordinate_geometry_0236_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_0236_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"0.00","question_id":"coordinate_geometry_0308_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":308} +{"all_pairwise_distances":{"A-B":11.18,"A-C":15.65,"A-D":5.39,"B-C":4.47,"B-D":5.83,"C-D":10.3},"all_pairwise_midpoints":{"A-B":[-0.5,2.0],"A-C":[0.5,0.0],"A-D":[-2.0,4.5],"B-C":[3.0,-5.0],"B-D":[0.5,-0.5],"C-D":[1.5,-2.5]},"canvas_size":[504,519],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0309","image_path":"images/coordinate_geometry_0309.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-3,7],"B":[2,-3],"C":[4,-7],"D":[-1,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, 7)","point_label":"A","question_id":"coordinate_geometry_0309_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.83","point_pair":"B-D","question_id":"coordinate_geometry_0309_q2","question_text":"What is the distance between point B and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(1.5, -2.5)","point_pair":"C-D","question_id":"coordinate_geometry_0309_q3","question_text":"What are the coordinates of the midpoint between point C and point D?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_0309_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.43","question_id":"coordinate_geometry_0310_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":310} +{"all_pairwise_distances":{"A-B":8.94,"A-C":11.18,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[0.0,-3.0],"A-C":[1.0,-2.5],"B-C":[5.0,-0.5]},"canvas_size":[516,516],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0311","image_path":"images/coordinate_geometry_0311.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-4,-5],"B":[4,-1],"C":[6,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, 0)","point_label":"C","question_id":"coordinate_geometry_0311_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.18","point_pair":"A-C","question_id":"coordinate_geometry_0311_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_0311_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.30","question_id":"coordinate_geometry_0436_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":436} +{"all_pairwise_distances":{"A-B":4.47,"A-C":6.71,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[2.0,-4.0],"A-C":[2.5,-5.0],"B-C":[3.5,-7.0]},"canvas_size":[533,518],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0437","image_path":"images/coordinate_geometry_0437.png","is_collinear_triple":true,"num_points":3,"points":{"A":[1,-2],"B":[3,-6],"C":[4,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, -2)","point_label":"A","question_id":"coordinate_geometry_0437_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-C","question_id":"coordinate_geometry_0437_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_0437_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_0437_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"1","question_id":"coordinate_geometry_0439_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.00","question_id":"coordinate_geometry_0439_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":439} +{"all_pairwise_distances":{"A-B":3.0,"A-C":7.0,"B-C":4.0},"all_pairwise_midpoints":{"A-B":[-1.0,-2.5],"A-C":[-1.0,-0.5],"B-C":[-1.0,1.0]},"canvas_size":[507,548],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0440","image_path":"images/coordinate_geometry_0440.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-1,-4],"B":[-1,-1],"C":[-1,3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, -4)","point_label":"A","question_id":"coordinate_geometry_0440_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.00","point_pair":"A-C","question_id":"coordinate_geometry_0440_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0440_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"6.71","question_id":"coordinate_geometry_0441_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":441} +{"all_pairwise_distances":{"A-B":12.08},"all_pairwise_midpoints":{"A-B":[1.5,1.5]},"canvas_size":[523,549],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0442","image_path":"images/coordinate_geometry_0442.png","is_collinear_triple":false,"num_points":2,"points":{"A":[7,4],"B":[-4,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -1)","point_label":"B","question_id":"coordinate_geometry_0442_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.08","point_pair":"A-B","question_id":"coordinate_geometry_0442_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(1.5, 1.5)","point_pair":"A-B","question_id":"coordinate_geometry_0442_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"3","question_id":"coordinate_geometry_0442_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"13.60","question_id":"coordinate_geometry_0442_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":442} +{"all_pairwise_distances":{"A-B":7.07,"A-C":9.9,"B-C":2.83},"all_pairwise_midpoints":{"A-B":[0.5,3.5],"A-C":[1.5,2.5],"B-C":[4.0,0.0]},"canvas_size":[548,508],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0443","image_path":"images/coordinate_geometry_0443.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-2,6],"B":[3,1],"C":[5,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, -1)","point_label":"C","question_id":"coordinate_geometry_0443_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.07","point_pair":"A-B","question_id":"coordinate_geometry_0443_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_0443_q3","question_text":"Which two points are farthest together? 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new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":534} +{"all_pairwise_distances":{"A-B":12.04},"all_pairwise_midpoints":{"A-B":[0.0,-0.5]},"canvas_size":[509,526],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0535","image_path":"images/coordinate_geometry_0535.png","is_collinear_triple":false,"num_points":2,"points":{"A":[4,4],"B":[-4,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 4)","point_label":"A","question_id":"coordinate_geometry_0535_q1","question_text":"What are the coordinates of point 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.81","question_id":"coordinate_geometry_0600_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":600} +{"all_pairwise_distances":{"A-B":15.81},"all_pairwise_midpoints":{"A-B":[-0.5,-0.5]},"canvas_size":[512,543],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0601","image_path":"images/coordinate_geometry_0601.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-7,-5],"B":[6,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, 4)","point_label":"B","question_id":"coordinate_geometry_0601_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"15.81","point_pair":"A-B","question_id":"coordinate_geometry_0601_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-0.5, -0.5)","point_pair":"A-B","question_id":"coordinate_geometry_0601_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-1","question_id":"coordinate_geometry_0601_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.87","question_id":"coordinate_geometry_0601_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":601} +{"all_pairwise_distances":{"A-B":11.18,"A-C":13.42,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[-2.5,-3.0],"A-C":[-2.0,-2.0],"B-C":[0.5,3.0]},"canvas_size":[525,511],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0602","image_path":"images/coordinate_geometry_0602.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-5,-8],"B":[0,2],"C":[1,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, 2)","point_label":"B","question_id":"coordinate_geometry_0602_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.18","point_pair":"A-B","question_id":"coordinate_geometry_0602_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-2, -2)","point_pair":"A-C","question_id":"coordinate_geometry_0602_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_0602_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":646} +{"all_pairwise_distances":{"A-B":3.16,"A-C":13.6,"B-C":13.89},"all_pairwise_midpoints":{"A-B":[1.5,-6.5],"A-C":[-2.0,-0.5],"B-C":[-0.5,0.0]},"canvas_size":[542,534],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0647","image_path":"images/coordinate_geometry_0647.png","is_collinear_triple":false,"num_points":3,"points":{"A":[0,-7],"B":[3,-6],"C":[-4,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, -7)","point_label":"A","question_id":"coordinate_geometry_0647_q1","question_text":"What are the coordinates of point 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.82","question_id":"coordinate_geometry_0730_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":730} +{"all_pairwise_distances":{"A-B":4.47,"A-C":13.42,"B-C":8.94},"all_pairwise_midpoints":{"A-B":[-4.0,2.0],"A-C":[0.0,0.0],"B-C":[2.0,-1.0]},"canvas_size":[546,504],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0731","image_path":"images/coordinate_geometry_0731.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-6,3],"B":[-2,1],"C":[6,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, 3)","point_label":"A","question_id":"coordinate_geometry_0731_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.42","point_pair":"A-C","question_id":"coordinate_geometry_0731_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0, 0)","point_pair":"A-C","question_id":"coordinate_geometry_0731_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-2","question_id":"coordinate_geometry_0731_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.24","question_id":"coordinate_geometry_0731_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":731} +{"all_pairwise_distances":{"A-B":2.24,"A-C":11.18,"A-D":14.42,"B-C":8.94,"B-D":12.21,"C-D":3.61},"all_pairwise_midpoints":{"A-B":[-1.5,-4.0],"A-C":[0.5,0.0],"A-D":[2.0,1.0],"B-C":[1.0,1.0],"B-D":[2.5,2.0],"C-D":[4.5,6.0]},"canvas_size":[542,507],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0732","image_path":"images/coordinate_geometry_0732.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-2,-5],"B":[-1,-3],"C":[3,5],"D":[6,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, -5)","point_label":"A","question_id":"coordinate_geometry_0732_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_0732_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and D","question_id":"coordinate_geometry_0732_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.16","question_id":"coordinate_geometry_0732_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":732} +{"all_pairwise_distances":{"A-B":14.14},"all_pairwise_midpoints":{"A-B":[1.0,1.0]},"canvas_size":[526,540],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0733","image_path":"images/coordinate_geometry_0733.png","is_collinear_triple":false,"num_points":2,"points":{"A":[6,-4],"B":[-4,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, -4)","point_label":"A","question_id":"coordinate_geometry_0733_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.14","point_pair":"A-B","question_id":"coordinate_geometry_0733_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0733_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.00","question_id":"coordinate_geometry_0777_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":777} +{"all_pairwise_distances":{"A-B":2.83},"all_pairwise_midpoints":{"A-B":[-3.0,4.0]},"canvas_size":[502,522],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0778","image_path":"images/coordinate_geometry_0778.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-4,3],"B":[-2,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, 5)","point_label":"B","question_id":"coordinate_geometry_0778_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.83","point_pair":"A-B","question_id":"coordinate_geometry_0778_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_0778_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"1.00","question_id":"coordinate_geometry_0926_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":926} +{"all_pairwise_distances":{"A-B":8.94,"A-C":11.18,"A-D":3.61,"B-C":2.24,"B-D":5.39,"C-D":7.62},"all_pairwise_midpoints":{"A-B":[-1.0,3.0],"A-C":[-0.5,2.0],"A-D":[-2.0,5.5],"B-C":[1.5,-2.0],"B-D":[0.0,1.5],"C-D":[0.5,0.5]},"canvas_size":[540,508],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_0927","image_path":"images/coordinate_geometry_0927.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-3,7],"B":[1,-1],"C":[2,-3],"D":[-1,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, -1)","point_label":"B","question_id":"coordinate_geometry_0927_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"3.61","point_pair":"A-D","question_id":"coordinate_geometry_0927_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_0927_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"1.41","question_id":"coordinate_geometry_1169_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1169} +{"all_pairwise_distances":{"A-B":3.61,"A-C":13.0,"A-D":9.22,"B-C":11.4,"B-D":12.0,"C-D":14.21},"all_pairwise_midpoints":{"A-B":[-3.5,-7.0],"A-C":[-2.0,-1.5],"A-D":[2.5,-7.0],"B-C":[-3.5,-0.5],"B-D":[1.0,-6.0],"C-D":[2.5,-0.5]},"canvas_size":[502,510],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1170","image_path":"images/coordinate_geometry_1170.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-2,-8],"B":[-5,-6],"C":[-2,5],"D":[7,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, -8)","point_label":"A","question_id":"coordinate_geometry_1170_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"3.61","point_pair":"A-B","question_id":"coordinate_geometry_1170_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1170_q3","question_text":"Which two points are closest together? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"0","question_id":"coordinate_geometry_1203_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.00","question_id":"coordinate_geometry_1203_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1203} +{"all_pairwise_distances":{"A-B":6.4},"all_pairwise_midpoints":{"A-B":[1.5,3.0]},"canvas_size":[524,541],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1204","image_path":"images/coordinate_geometry_1204.png","is_collinear_triple":false,"num_points":2,"points":{"A":[4,1],"B":[-1,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 1)","point_label":"A","question_id":"coordinate_geometry_1204_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.40","point_pair":"A-B","question_id":"coordinate_geometry_1204_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1204_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.60","question_id":"coordinate_geometry_1204_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1204} +{"all_pairwise_distances":{"A-B":11.18,"A-C":15.65,"B-C":4.47},"all_pairwise_midpoints":{"A-B":[-2.0,3.5],"A-C":[0.0,2.5],"B-C":[5.0,0.0]},"canvas_size":[541,526],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1205","image_path":"images/coordinate_geometry_1205.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-7,6],"B":[3,1],"C":[7,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, 1)","point_label":"B","question_id":"coordinate_geometry_1205_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.47","point_pair":"B-C","question_id":"coordinate_geometry_1205_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-2, 3.5)","point_pair":"A-B","question_id":"coordinate_geometry_1205_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1205_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.90","question_id":"coordinate_geometry_1207_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1207} +{"all_pairwise_distances":{"A-B":8.94,"A-C":11.18,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[1.0,1.0],"A-C":[2.0,0.5],"B-C":[6.0,-1.5]},"canvas_size":[501,504],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1208","image_path":"images/coordinate_geometry_1208.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-3,3],"B":[5,-1],"C":[7,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, -2)","point_label":"C","question_id":"coordinate_geometry_1208_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.94","point_pair":"A-B","question_id":"coordinate_geometry_1208_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1208_q3","question_text":"Which two points are farthest together? 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+{"all_pairwise_distances":{"A-B":19.21},"all_pairwise_midpoints":{"A-B":[-0.5,-1.0]},"canvas_size":[504,532],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1210","image_path":"images/coordinate_geometry_1210.png","is_collinear_triple":false,"num_points":2,"points":{"A":[7,-7],"B":[-8,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, -7)","point_label":"A","question_id":"coordinate_geometry_1210_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"19.21","point_pair":"A-B","question_id":"coordinate_geometry_1210_q2","question_text":"What is the distance 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"16.28","question_id":"coordinate_geometry_1255_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1255} +{"all_pairwise_distances":{"A-B":11.66,"A-C":14.42,"B-C":6.32},"all_pairwise_midpoints":{"A-B":[0.0,3.0],"A-C":[-1.0,0.0],"B-C":[4.0,-3.0]},"canvas_size":[535,507],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1256","image_path":"images/coordinate_geometry_1256.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-5,6],"B":[5,0],"C":[3,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, 0)","point_label":"B","question_id":"coordinate_geometry_1256_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.32","point_pair":"B-C","question_id":"coordinate_geometry_1256_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_1256_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.43","question_id":"coordinate_geometry_1256_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1256} +{"all_pairwise_distances":{"A-B":4.12,"A-C":5.39,"A-D":12.73,"B-C":7.21,"B-D":15.26,"C-D":8.06},"all_pairwise_midpoints":{"A-B":[-1.5,5.0],"A-C":[0.5,2.0],"A-D":[2.5,-1.5],"B-C":[1.0,4.0],"B-D":[3.0,0.5],"C-D":[5.0,-2.5]},"canvas_size":[532,525],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1257","image_path":"images/coordinate_geometry_1257.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-2,3],"B":[-1,7],"C":[3,1],"D":[7,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, -6)","point_label":"D","question_id":"coordinate_geometry_1257_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.21","point_pair":"B-C","question_id":"coordinate_geometry_1257_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0.5, 2)","point_pair":"A-C","question_id":"coordinate_geometry_1257_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABD","question_id":"coordinate_geometry_1257_q4","question_text":"Are points A, B, and D collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.00","question_id":"coordinate_geometry_1265_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1265} +{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"A-D":11.18,"B-C":4.47,"B-D":10.0,"C-D":8.94},"all_pairwise_midpoints":{"A-B":[-5.0,-0.5],"A-C":[-3.0,0.5],"A-D":[-1.0,-3.5],"B-C":[-2.0,1.0],"B-D":[0.0,-3.0],"C-D":[2.0,-2.0]},"canvas_size":[544,513],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1266","image_path":"images/coordinate_geometry_1266.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-6,-1],"B":[-4,0],"C":[0,2],"D":[4,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 0)","point_label":"B","question_id":"coordinate_geometry_1266_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-C","question_id":"coordinate_geometry_1266_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-5, -0.5)","point_pair":"A-B","question_id":"coordinate_geometry_1266_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-6","question_id":"coordinate_geometry_1266_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.00","question_id":"coordinate_geometry_1266_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1266} +{"all_pairwise_distances":{"A-B":5.0},"all_pairwise_midpoints":{"A-B":[3.0,-0.5]},"canvas_size":[504,532],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1267","image_path":"images/coordinate_geometry_1267.png","is_collinear_triple":false,"num_points":2,"points":{"A":[1,-2],"B":[5,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, -2)","point_label":"A","question_id":"coordinate_geometry_1267_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.00","point_pair":"A-B","question_id":"coordinate_geometry_1267_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(3, -0.5)","point_pair":"A-B","question_id":"coordinate_geometry_1267_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1267_q4","question_text":"The distance from point A to point B is 5.00 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.47","question_id":"coordinate_geometry_1267_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1267} +{"all_pairwise_distances":{"A-B":6.71,"A-C":15.65,"B-C":8.94},"all_pairwise_midpoints":{"A-B":[-0.5,5.0],"A-C":[1.5,1.0],"B-C":[3.0,-2.0]},"canvas_size":[505,546],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1268","image_path":"images/coordinate_geometry_1268.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-2,8],"B":[1,2],"C":[5,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, 8)","point_label":"A","question_id":"coordinate_geometry_1268_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"15.65","point_pair":"A-C","question_id":"coordinate_geometry_1268_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1268_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"16.49","question_id":"coordinate_geometry_1270_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1270} +{"all_pairwise_distances":{"A-B":4.47,"A-C":15.65,"B-C":11.18},"all_pairwise_midpoints":{"A-B":[-6.0,3.0],"A-C":[-1.0,0.5],"B-C":[1.0,-0.5]},"canvas_size":[522,506],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1271","image_path":"images/coordinate_geometry_1271.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-8,4],"B":[-4,2],"C":[6,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 2)","point_label":"B","question_id":"coordinate_geometry_1271_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.18","point_pair":"B-C","question_id":"coordinate_geometry_1271_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(1, -0.5)","point_pair":"B-C","question_id":"coordinate_geometry_1271_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"B-C","question_id":"coordinate_geometry_1271_q4","question_text":"The distance from point B to point C is 11.18 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.24","question_id":"coordinate_geometry_1271_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1271} +{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"A-D":12.08,"B-C":4.47,"B-D":10.82,"C-D":9.43},"all_pairwise_midpoints":{"A-B":[-1.5,4.0],"A-C":[-0.5,2.0],"A-D":[-4.5,-0.5],"B-C":[0.0,1.0],"B-D":[-4.0,-1.5],"C-D":[-3.0,-3.5]},"canvas_size":[514,533],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1272","image_path":"images/coordinate_geometry_1272.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-2,5],"B":[-1,3],"C":[1,-1],"D":[-7,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, -6)","point_label":"D","question_id":"coordinate_geometry_1272_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_1272_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-0.5, 2)","point_pair":"A-C","question_id":"coordinate_geometry_1272_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-C","question_id":"coordinate_geometry_1272_q4","question_text":"The distance from point A to point C is 6.71 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"1.41","question_id":"coordinate_geometry_1272_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1272} +{"all_pairwise_distances":{"A-B":16.12},"all_pairwise_midpoints":{"A-B":[0.0,7.0]},"canvas_size":[542,534],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1273","image_path":"images/coordinate_geometry_1273.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-8,6],"B":[8,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-8, 6)","point_label":"A","question_id":"coordinate_geometry_1273_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"16.12","point_pair":"A-B","question_id":"coordinate_geometry_1273_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0, 7)","point_pair":"A-B","question_id":"coordinate_geometry_1273_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"0","question_id":"coordinate_geometry_1273_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.32","question_id":"coordinate_geometry_1273_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1273} +{"all_pairwise_distances":{"A-B":4.47,"A-C":11.18,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[-3.0,-2.0],"A-C":[-1.5,1.0],"B-C":[-0.5,3.0]},"canvas_size":[507,546],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1274","image_path":"images/coordinate_geometry_1274.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-4,-4],"B":[-2,0],"C":[1,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -4)","point_label":"A","question_id":"coordinate_geometry_1274_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.47","point_pair":"A-B","question_id":"coordinate_geometry_1274_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1274_q3","question_text":"Which two points are closest together? 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Answer yes or no.","question_type":"triple_collinearity"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"6.71","question_id":"coordinate_geometry_1329_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1329} +{"all_pairwise_distances":{"A-B":14.14},"all_pairwise_midpoints":{"A-B":[2.0,0.0]},"canvas_size":[522,515],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1330","image_path":"images/coordinate_geometry_1330.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-3,-5],"B":[7,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, 5)","point_label":"B","question_id":"coordinate_geometry_1330_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.14","point_pair":"A-B","question_id":"coordinate_geometry_1330_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2, 0)","point_pair":"A-B","question_id":"coordinate_geometry_1330_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_1330_q4","question_text":"The distance from point A to point B is 14.14 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"13.60","question_id":"coordinate_geometry_1330_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1330} +{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"B-C":4.47},"all_pairwise_midpoints":{"A-B":[-0.5,2.0],"A-C":[0.5,0.0],"B-C":[1.0,-1.0]},"canvas_size":[536,533],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1331","image_path":"images/coordinate_geometry_1331.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-1,3],"B":[0,1],"C":[2,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(2, -3)","point_label":"C","question_id":"coordinate_geometry_1331_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-C","question_id":"coordinate_geometry_1331_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1331_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"1","question_id":"coordinate_geometry_1331_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"1.41","question_id":"coordinate_geometry_1331_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1331} +{"all_pairwise_distances":{"A-B":2.24,"A-C":8.94,"A-D":5.39,"B-C":6.71,"B-D":6.0,"C-D":10.82},"all_pairwise_midpoints":{"A-B":[-2.5,-5.0],"A-C":[-1.0,-2.0],"A-D":[-5.5,-5.0],"B-C":[-0.5,-1.0],"B-D":[-5.0,-4.0],"C-D":[-3.5,-1.0]},"canvas_size":[503,524],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1332","image_path":"images/coordinate_geometry_1332.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-3,-6],"B":[-2,-4],"C":[1,2],"D":[-8,-4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, -4)","point_label":"B","question_id":"coordinate_geometry_1332_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.39","point_pair":"A-D","question_id":"coordinate_geometry_1332_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1332_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1332_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"1","question_id":"coordinate_geometry_1333_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.18","question_id":"coordinate_geometry_1333_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1333} +{"all_pairwise_distances":{"A-B":2.24,"A-C":8.94,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[-5.0,0.5],"A-C":[-2.0,-1.0],"B-C":[-1.0,-1.5]},"canvas_size":[542,529],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1334","image_path":"images/coordinate_geometry_1334.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-6,1],"B":[-4,0],"C":[2,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 0)","point_label":"B","question_id":"coordinate_geometry_1334_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_1334_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-1, -1.5)","point_pair":"B-C","question_id":"coordinate_geometry_1334_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-8","question_id":"coordinate_geometry_1334_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"0.00","question_id":"coordinate_geometry_1334_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1334} +{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"A-D":3.16,"B-C":4.47,"B-D":5.0,"C-D":9.22},"all_pairwise_midpoints":{"A-B":[-4.0,0.5],"A-C":[-2.0,-0.5],"A-D":[-6.5,0.5],"B-C":[-1.0,-1.0],"B-D":[-5.5,0.0],"C-D":[-3.5,-1.0]},"canvas_size":[547,533],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1335","image_path":"images/coordinate_geometry_1335.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-5,1],"B":[-3,0],"C":[1,-2],"D":[-8,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 1)","point_label":"A","question_id":"coordinate_geometry_1335_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-C","question_id":"coordinate_geometry_1335_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"C and D","question_id":"coordinate_geometry_1335_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"6.08","question_id":"coordinate_geometry_1336_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1336} +{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"B-C":4.47},"all_pairwise_midpoints":{"A-B":[-1.5,-3.0],"A-C":[-0.5,-1.0],"B-C":[0.0,0.0]},"canvas_size":[539,534],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1337","image_path":"images/coordinate_geometry_1337.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-2,-4],"B":[-1,-2],"C":[1,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, -2)","point_label":"B","question_id":"coordinate_geometry_1337_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.47","point_pair":"B-C","question_id":"coordinate_geometry_1337_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0, 0)","point_pair":"B-C","question_id":"coordinate_geometry_1337_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-2","question_id":"coordinate_geometry_1337_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.16","question_id":"coordinate_geometry_1337_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1337} +{"all_pairwise_distances":{"A-B":2.24,"A-C":8.94,"A-D":8.06,"B-C":6.71,"B-D":6.32,"C-D":5.0},"all_pairwise_midpoints":{"A-B":[1.5,1.0],"A-C":[3.0,4.0],"A-D":[0.5,4.0],"B-C":[3.5,5.0],"B-D":[1.0,5.0],"C-D":[2.5,8.0]},"canvas_size":[549,544],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1338","image_path":"images/coordinate_geometry_1338.png","is_collinear_triple":true,"num_points":4,"points":{"A":[1,0],"B":[2,2],"C":[5,8],"D":[0,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, 0)","point_label":"A","question_id":"coordinate_geometry_1338_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.06","point_pair":"A-D","question_id":"coordinate_geometry_1338_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2.5, 8)","point_pair":"C-D","question_id":"coordinate_geometry_1338_q3","question_text":"What are the coordinates of the midpoint between point C and point D?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1338_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.87","question_id":"coordinate_geometry_1408_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1408} +{"all_pairwise_distances":{"A-B":14.04,"A-C":12.08,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[0.0,7.5],"A-C":[-1.5,4.5],"B-C":[5.5,5.0]},"canvas_size":[502,533],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1409","image_path":"images/coordinate_geometry_1409.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-7,7],"B":[7,8],"C":[4,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(7, 8)","point_label":"B","question_id":"coordinate_geometry_1409_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.08","point_pair":"A-C","question_id":"coordinate_geometry_1409_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_1409_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.07","question_id":"coordinate_geometry_1419_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1419} +{"all_pairwise_distances":{"A-B":5.39},"all_pairwise_midpoints":{"A-B":[5.5,-7.0]},"canvas_size":[546,526],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1420","image_path":"images/coordinate_geometry_1420.png","is_collinear_triple":false,"num_points":2,"points":{"A":[3,-8],"B":[8,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, -8)","point_label":"A","question_id":"coordinate_geometry_1420_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.39","point_pair":"A-B","question_id":"coordinate_geometry_1420_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(5.5, -7)","point_pair":"A-B","question_id":"coordinate_geometry_1420_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1420_q4","question_text":"The distance from point A to point B is 5.39 units. 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new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1421} +{"all_pairwise_distances":{"A-B":19.8,"A-C":14.14,"A-D":10.44,"B-C":12.0,"B-D":11.7,"C-D":4.12},"all_pairwise_midpoints":{"A-B":[-1.0,-1.0],"A-C":[5.0,-1.0],"A-D":[4.5,1.0],"B-C":[-2.0,-8.0],"B-D":[-2.5,-6.0],"C-D":[3.5,-6.0]},"canvas_size":[513,530],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1422","image_path":"images/coordinate_geometry_1422.png","is_collinear_triple":false,"num_points":4,"points":{"A":[6,6],"B":[-8,-8],"C":[4,-8],"D":[3,-4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 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+{"all_pairwise_distances":{"A-B":13.45},"all_pairwise_midpoints":{"A-B":[-2.0,1.5]},"canvas_size":[528,531],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1423","image_path":"images/coordinate_geometry_1423.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-7,-3],"B":[3,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, -3)","point_label":"A","question_id":"coordinate_geometry_1423_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.45","point_pair":"A-B","question_id":"coordinate_geometry_1423_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1423_q3","question_text":"Which two points are farthest together? 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distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1425} +{"all_pairwise_distances":{"A-B":14.32},"all_pairwise_midpoints":{"A-B":[1.5,-5.0]},"canvas_size":[505,540],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1426","image_path":"images/coordinate_geometry_1426.png","is_collinear_triple":false,"num_points":2,"points":{"A":[8,-2],"B":[-5,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, -8)","point_label":"B","question_id":"coordinate_geometry_1426_q1","question_text":"What are the coordinates of point 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new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1426} +{"all_pairwise_distances":{"A-B":8.6,"A-C":5.83,"B-C":10.77},"all_pairwise_midpoints":{"A-B":[1.5,0.5],"A-C":[-3.5,2.5],"B-C":[-1.0,-1.0]},"canvas_size":[548,500],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1427","image_path":"images/coordinate_geometry_1427.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-1,4],"B":[4,-3],"C":[-6,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, 1)","point_label":"C","question_id":"coordinate_geometry_1427_q1","question_text":"What are the coordinates of point 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1429_q4","question_text":"The distance from point A to point B is 8.06 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.00","question_id":"coordinate_geometry_1429_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1429} +{"all_pairwise_distances":{"A-B":4.24,"A-C":12.08,"B-C":8.25},"all_pairwise_midpoints":{"A-B":[-1.5,2.5],"A-C":[2.5,3.5],"B-C":[4.0,5.0]},"canvas_size":[518,541],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1430","image_path":"images/coordinate_geometry_1430.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-3,1],"B":[0,4],"C":[8,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, 6)","point_label":"C","question_id":"coordinate_geometry_1430_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.08","point_pair":"A-C","question_id":"coordinate_geometry_1430_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2.5, 3.5)","point_pair":"A-C","question_id":"coordinate_geometry_1430_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABC","question_id":"coordinate_geometry_1430_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.28","question_id":"coordinate_geometry_1432_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1432} +{"all_pairwise_distances":{"A-B":11.18,"A-C":12.0,"B-C":12.21},"all_pairwise_midpoints":{"A-B":[-1.0,-3.5],"A-C":[-6.0,0.0],"B-C":[-1.0,2.5]},"canvas_size":[546,506],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1433","image_path":"images/coordinate_geometry_1433.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-6,-6],"B":[4,-1],"C":[-6,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, -6)","point_label":"A","question_id":"coordinate_geometry_1433_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.00","point_pair":"A-C","question_id":"coordinate_geometry_1433_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1433_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.00","question_id":"coordinate_geometry_1433_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1433} +{"all_pairwise_distances":{"A-B":14.04,"A-C":11.4,"A-D":3.0,"B-C":14.87,"B-D":14.56,"C-D":14.32},"all_pairwise_midpoints":{"A-B":[-3.5,-1.0],"A-C":[1.5,4.5],"A-D":[-5.5,6.0],"B-C":[2.0,-2.5],"B-D":[-5.0,-1.0],"C-D":[0.0,4.5]},"canvas_size":[500,530],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1434","image_path":"images/coordinate_geometry_1434.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-4,6],"B":[-3,-8],"C":[7,3],"D":[-7,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, -8)","point_label":"B","question_id":"coordinate_geometry_1434_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.87","point_pair":"B-C","question_id":"coordinate_geometry_1434_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2, -2.5)","point_pair":"B-C","question_id":"coordinate_geometry_1434_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABD","question_id":"coordinate_geometry_1434_q4","question_text":"Are points A, B, and D collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.54","question_id":"coordinate_geometry_1435_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1435} +{"all_pairwise_distances":{"A-B":3.16,"A-C":11.05,"B-C":12.17},"all_pairwise_midpoints":{"A-B":[-6.5,6.5],"A-C":[-0.5,5.5],"B-C":[-1.0,7.0]},"canvas_size":[550,520],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1436","image_path":"images/coordinate_geometry_1436.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-6,5],"B":[-7,8],"C":[5,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, 8)","point_label":"B","question_id":"coordinate_geometry_1436_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"3.16","point_pair":"A-B","question_id":"coordinate_geometry_1436_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-6.5, 6.5)","point_pair":"A-B","question_id":"coordinate_geometry_1436_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABC","question_id":"coordinate_geometry_1436_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.21","question_id":"coordinate_geometry_1494_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1494} +{"all_pairwise_distances":{"A-B":12.53},"all_pairwise_midpoints":{"A-B":[2.5,-4.0]},"canvas_size":[527,542],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1495","image_path":"images/coordinate_geometry_1495.png","is_collinear_triple":false,"num_points":2,"points":{"A":[8,-1],"B":[-3,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, -1)","point_label":"A","question_id":"coordinate_geometry_1495_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.53","point_pair":"A-B","question_id":"coordinate_geometry_1495_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2.5, -4)","point_pair":"A-B","question_id":"coordinate_geometry_1495_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"5","question_id":"coordinate_geometry_1495_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"13.93","question_id":"coordinate_geometry_1495_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1495} +{"all_pairwise_distances":{"A-B":10.77,"A-C":8.25,"B-C":16.97},"all_pairwise_midpoints":{"A-B":[1.0,2.0],"A-C":[7.0,-4.0],"B-C":[2.0,-2.0]},"canvas_size":[504,500],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1496","image_path":"images/coordinate_geometry_1496.png","is_collinear_triple":false,"num_points":3,"points":{"A":[6,0],"B":[-4,4],"C":[8,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 4)","point_label":"B","question_id":"coordinate_geometry_1496_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.25","point_pair":"A-C","question_id":"coordinate_geometry_1496_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1496_q3","question_text":"Which two points are closest together? 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+{"all_pairwise_distances":{"A-B":12.65},"all_pairwise_midpoints":{"A-B":[-1.0,-1.0]},"canvas_size":[540,514],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1501","image_path":"images/coordinate_geometry_1501.png","is_collinear_triple":false,"num_points":2,"points":{"A":[5,-3],"B":[-7,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, 1)","point_label":"B","question_id":"coordinate_geometry_1501_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.65","point_pair":"A-B","question_id":"coordinate_geometry_1501_q2","question_text":"What is the distance 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+{"all_pairwise_distances":{"A-B":4.0,"A-C":7.0,"B-C":3.0},"all_pairwise_midpoints":{"A-B":[-1.0,0.0],"A-C":[0.5,0.0],"B-C":[2.5,0.0]},"canvas_size":[510,533],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1502","image_path":"images/coordinate_geometry_1502.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-3,0],"B":[1,0],"C":[4,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, 0)","point_label":"A","question_id":"coordinate_geometry_1502_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.00","point_pair":"A-C","question_id":"coordinate_geometry_1502_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2.5, 0)","point_pair":"B-C","question_id":"coordinate_geometry_1502_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"2","question_id":"coordinate_geometry_1502_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.24","question_id":"coordinate_geometry_1502_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.49","question_id":"coordinate_geometry_1507_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1507} +{"all_pairwise_distances":{"A-B":2.83,"A-C":7.07,"B-C":4.24},"all_pairwise_midpoints":{"A-B":[-4.0,2.0],"A-C":[-2.5,0.5],"B-C":[-1.5,-0.5]},"canvas_size":[519,536],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1508","image_path":"images/coordinate_geometry_1508.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-5,3],"B":[-3,1],"C":[0,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, -2)","point_label":"C","question_id":"coordinate_geometry_1508_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.24","point_pair":"B-C","question_id":"coordinate_geometry_1508_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-2.5, 0.5)","point_pair":"A-C","question_id":"coordinate_geometry_1508_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1508_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.12","question_id":"coordinate_geometry_1509_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1509} +{"all_pairwise_distances":{"A-B":9.43},"all_pairwise_midpoints":{"A-B":[0.0,3.5]},"canvas_size":[525,530],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1510","image_path":"images/coordinate_geometry_1510.png","is_collinear_triple":false,"num_points":2,"points":{"A":[4,1],"B":[-4,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 1)","point_label":"A","question_id":"coordinate_geometry_1510_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"9.43","point_pair":"A-B","question_id":"coordinate_geometry_1510_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(0, 3.5)","point_pair":"A-B","question_id":"coordinate_geometry_1510_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"0","question_id":"coordinate_geometry_1510_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.66","question_id":"coordinate_geometry_1510_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1510} +{"all_pairwise_distances":{"A-B":6.71,"A-C":8.94,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[1.5,3.0],"A-C":[2.0,4.0],"B-C":[3.5,7.0]},"canvas_size":[511,543],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1511","image_path":"images/coordinate_geometry_1511.png","is_collinear_triple":true,"num_points":3,"points":{"A":[0,0],"B":[3,6],"C":[4,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, 0)","point_label":"A","question_id":"coordinate_geometry_1511_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"B-C","question_id":"coordinate_geometry_1511_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(2, 4)","point_pair":"A-C","question_id":"coordinate_geometry_1511_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1511_q4","question_text":"The distance from point A to point B is 6.71 units. 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.00","question_id":"coordinate_geometry_1528_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1528} +{"all_pairwise_distances":{"A-B":10.2,"A-C":6.4,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[1.0,4.0],"A-C":[-2.0,5.5],"B-C":[3.0,6.5]},"canvas_size":[521,507],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1529","image_path":"images/coordinate_geometry_1529.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-4,3],"B":[6,5],"C":[0,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, 5)","point_label":"B","question_id":"coordinate_geometry_1529_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"B-C","question_id":"coordinate_geometry_1529_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1529_q3","question_text":"Which two points are farthest together? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-3","question_id":"coordinate_geometry_1531_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.12","question_id":"coordinate_geometry_1531_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1531} +{"all_pairwise_distances":{"A-B":11.4,"A-C":3.16,"B-C":10.0},"all_pairwise_midpoints":{"A-B":[2.5,-0.5],"A-C":[2.5,-5.5],"B-C":[4.0,0.0]},"canvas_size":[511,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1532","image_path":"images/coordinate_geometry_1532.png","is_collinear_triple":false,"num_points":3,"points":{"A":[1,-6],"B":[4,5],"C":[4,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, -5)","point_label":"C","question_id":"coordinate_geometry_1532_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.00","point_pair":"B-C","question_id":"coordinate_geometry_1532_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1532_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.21","question_id":"coordinate_geometry_1533_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1533} +{"all_pairwise_distances":{"A-B":8.54},"all_pairwise_midpoints":{"A-B":[0.0,1.5]},"canvas_size":[522,539],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1534","image_path":"images/coordinate_geometry_1534.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-4,3],"B":[4,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 0)","point_label":"B","question_id":"coordinate_geometry_1534_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.54","point_pair":"A-B","question_id":"coordinate_geometry_1534_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1534_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.06","question_id":"coordinate_geometry_1573_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1573} +{"all_pairwise_distances":{"A-B":4.47,"A-C":11.18,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[0.0,5.0],"A-C":[1.5,2.0],"B-C":[2.5,0.0]},"canvas_size":[530,508],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1574","image_path":"images/coordinate_geometry_1574.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-1,7],"B":[1,3],"C":[4,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, 3)","point_label":"B","question_id":"coordinate_geometry_1574_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.47","point_pair":"A-B","question_id":"coordinate_geometry_1574_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1574_q3","question_text":"Which two points are farthest together? Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1574_q4","question_text":"The distance from point A to point B is 4.47 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.00","question_id":"coordinate_geometry_1574_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1574} +{"all_pairwise_distances":{"A-B":2.24,"A-C":6.71,"A-D":5.39,"B-C":4.47,"B-D":7.21,"C-D":11.31},"all_pairwise_midpoints":{"A-B":[0.0,-1.5],"A-C":[2.0,-0.5],"A-D":[-2.0,-4.5],"B-C":[3.0,0.0],"B-D":[-1.0,-4.0],"C-D":[1.0,-3.0]},"canvas_size":[514,506],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1575","image_path":"images/coordinate_geometry_1575.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-1,-2],"B":[1,-1],"C":[5,1],"D":[-3,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, -2)","point_label":"A","question_id":"coordinate_geometry_1575_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.39","point_pair":"A-D","question_id":"coordinate_geometry_1575_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-1, -4)","point_pair":"B-D","question_id":"coordinate_geometry_1575_q3","question_text":"What are the coordinates of the midpoint between point B and point D?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-C","question_id":"coordinate_geometry_1575_q4","question_text":"The distance from point A to point C is 6.71 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.00","question_id":"coordinate_geometry_1575_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1575} +{"all_pairwise_distances":{"A-B":6.71},"all_pairwise_midpoints":{"A-B":[5.0,4.5]},"canvas_size":[544,519],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1576","image_path":"images/coordinate_geometry_1576.png","is_collinear_triple":false,"num_points":2,"points":{"A":[8,3],"B":[2,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, 3)","point_label":"A","question_id":"coordinate_geometry_1576_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"A-B","question_id":"coordinate_geometry_1576_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(5, 4.5)","point_pair":"A-B","question_id":"coordinate_geometry_1576_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"10","question_id":"coordinate_geometry_1576_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.94","question_id":"coordinate_geometry_1576_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1576} +{"all_pairwise_distances":{"A-B":2.24,"A-C":13.42,"B-C":11.18},"all_pairwise_midpoints":{"A-B":[-3.5,-4.0],"A-C":[-1.0,1.0],"B-C":[-0.5,2.0]},"canvas_size":[550,518],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1577","image_path":"images/coordinate_geometry_1577.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-4,-5],"B":[-3,-3],"C":[2,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(2, 7)","point_label":"C","question_id":"coordinate_geometry_1577_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_1577_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1577_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.10","question_id":"coordinate_geometry_1578_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1578} +{"all_pairwise_distances":{"A-B":12.04},"all_pairwise_midpoints":{"A-B":[-1.5,3.0]},"canvas_size":[507,547],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1579","image_path":"images/coordinate_geometry_1579.png","is_collinear_triple":false,"num_points":2,"points":{"A":[3,7],"B":[-6,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, -1)","point_label":"B","question_id":"coordinate_geometry_1579_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.04","point_pair":"A-B","question_id":"coordinate_geometry_1579_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1579_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.10","question_id":"coordinate_geometry_1654_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1654} +{"all_pairwise_distances":{"A-B":8.49,"A-C":5.39,"B-C":11.7},"all_pairwise_midpoints":{"A-B":[-5.0,0.0],"A-C":[-3.0,5.5],"B-C":[-6.0,2.5]},"canvas_size":[532,506],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1655","image_path":"images/coordinate_geometry_1655.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-2,3],"B":[-8,-3],"C":[-4,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 8)","point_label":"C","question_id":"coordinate_geometry_1655_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.70","point_pair":"B-C","question_id":"coordinate_geometry_1655_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-5, 0)","point_pair":"A-B","question_id":"coordinate_geometry_1655_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-14","question_id":"coordinate_geometry_1655_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.43","question_id":"coordinate_geometry_1655_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1655} +{"all_pairwise_distances":{"A-B":9.43,"A-C":7.81,"A-D":8.06,"B-C":11.4,"B-D":4.0,"C-D":7.62},"all_pairwise_midpoints":{"A-B":[2.5,2.0],"A-C":[-3.0,3.5],"A-D":[0.5,2.0],"B-C":[-0.5,-0.5],"B-D":[3.0,-2.0],"C-D":[-2.5,-0.5]},"canvas_size":[546,531],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1656","image_path":"images/coordinate_geometry_1656.png","is_collinear_triple":false,"num_points":4,"points":{"A":[0,6],"B":[5,-2],"C":[-6,1],"D":[1,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, -2)","point_label":"B","question_id":"coordinate_geometry_1656_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.06","point_pair":"A-D","question_id":"coordinate_geometry_1656_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-3, 3.5)","point_pair":"A-C","question_id":"coordinate_geometry_1656_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"BCD","question_id":"coordinate_geometry_1656_q4","question_text":"Are points B, C, and D collinear (do they lie on one straight line)? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_1657_q4","question_text":"The distance from point A to point B is 10.20 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.00","question_id":"coordinate_geometry_1657_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1657} +{"all_pairwise_distances":{"A-B":5.39,"A-C":7.0,"B-C":10.3},"all_pairwise_midpoints":{"A-B":[4.0,-0.5],"A-C":[-0.5,2.0],"B-C":[0.5,-0.5]},"canvas_size":[545,528],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1658","image_path":"images/coordinate_geometry_1658.png","is_collinear_triple":false,"num_points":3,"points":{"A":[3,2],"B":[5,-3],"C":[-4,2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, -3)","point_label":"B","question_id":"coordinate_geometry_1658_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.30","point_pair":"B-C","question_id":"coordinate_geometry_1658_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1658_q3","question_text":"Which two points are closest together? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_1660_q4","question_text":"The distance from point A to point B is 12.37 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"13.93","question_id":"coordinate_geometry_1660_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1660} +{"all_pairwise_distances":{"A-B":9.22,"A-C":8.06,"B-C":2.83},"all_pairwise_midpoints":{"A-B":[-4.0,3.5],"A-C":[-5.0,4.5],"B-C":[-6.0,0.0]},"canvas_size":[530,550],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1661","image_path":"images/coordinate_geometry_1661.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-3,8],"B":[-5,-1],"C":[-7,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, 8)","point_label":"A","question_id":"coordinate_geometry_1661_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"9.22","point_pair":"A-B","question_id":"coordinate_geometry_1661_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1661_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.94","question_id":"coordinate_geometry_1661_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1661} +{"all_pairwise_distances":{"A-B":5.83,"A-C":11.4,"A-D":8.94,"B-C":16.97,"B-D":14.76,"C-D":5.1},"all_pairwise_midpoints":{"A-B":[2.5,3.5],"A-C":[-3.5,-2.5],"A-D":[-4.0,0.0],"B-C":[-1.0,-1.0],"B-D":[-1.5,1.5],"C-D":[-7.5,-4.5]},"canvas_size":[544,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1662","image_path":"images/coordinate_geometry_1662.png","is_collinear_triple":false,"num_points":4,"points":{"A":[0,2],"B":[5,5],"C":[-7,-7],"D":[-8,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, 2)","point_label":"A","question_id":"coordinate_geometry_1662_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"16.97","point_pair":"B-C","question_id":"coordinate_geometry_1662_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"C and D","question_id":"coordinate_geometry_1662_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.07","question_id":"coordinate_geometry_1663_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1663} +{"all_pairwise_distances":{"A-B":9.9,"A-C":8.0,"B-C":7.07},"all_pairwise_midpoints":{"A-B":[4.5,-4.5],"A-C":[1.0,-4.0],"B-C":[4.5,-0.5]},"canvas_size":[547,525],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1664","image_path":"images/coordinate_geometry_1664.png","is_collinear_triple":false,"num_points":3,"points":{"A":[1,-8],"B":[8,-1],"C":[1,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, -8)","point_label":"A","question_id":"coordinate_geometry_1664_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.00","point_pair":"A-C","question_id":"coordinate_geometry_1664_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(4.5, -4.5)","point_pair":"A-B","question_id":"coordinate_geometry_1664_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"10","question_id":"coordinate_geometry_1664_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.43","question_id":"coordinate_geometry_1664_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1664} +{"all_pairwise_distances":{"A-B":8.25,"A-C":8.06,"A-D":14.32,"B-C":12.21,"B-D":7.81,"C-D":13.93},"all_pairwise_midpoints":{"A-B":[-3.0,2.0],"A-C":[2.0,5.5],"A-D":[-0.5,-1.0],"B-C":[1.0,1.5],"B-D":[-1.5,-5.0],"C-D":[3.5,-1.5]},"canvas_size":[534,528],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1665","image_path":"images/coordinate_geometry_1665.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-2,6],"B":[-4,-2],"C":[6,5],"D":[1,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, 5)","point_label":"C","question_id":"coordinate_geometry_1665_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.32","point_pair":"A-D","question_id":"coordinate_geometry_1665_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and D","question_id":"coordinate_geometry_1665_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"9.22","question_id":"coordinate_geometry_1666_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1666} +{"all_pairwise_distances":{"A-B":14.56,"A-C":15.03,"B-C":3.16},"all_pairwise_midpoints":{"A-B":[2.0,1.0],"A-C":[3.5,0.5],"B-C":[1.5,-6.5]},"canvas_size":[531,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1667","image_path":"images/coordinate_geometry_1667.png","is_collinear_triple":false,"num_points":3,"points":{"A":[4,8],"B":[0,-6],"C":[3,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, -7)","point_label":"C","question_id":"coordinate_geometry_1667_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.56","point_pair":"A-B","question_id":"coordinate_geometry_1667_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(1.5, -6.5)","point_pair":"B-C","question_id":"coordinate_geometry_1667_q3","question_text":"What are the coordinates of the midpoint between point B and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABC","question_id":"coordinate_geometry_1667_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.05","question_id":"coordinate_geometry_1669_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1669} +{"all_pairwise_distances":{"A-B":15.0,"A-C":7.62,"B-C":9.22},"all_pairwise_midpoints":{"A-B":[0.5,-2.0],"A-C":[1.5,2.5],"B-C":[-3.0,-3.5]},"canvas_size":[550,526],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1670","image_path":"images/coordinate_geometry_1670.png","is_collinear_triple":false,"num_points":3,"points":{"A":[5,4],"B":[-4,-8],"C":[-2,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -8)","point_label":"B","question_id":"coordinate_geometry_1670_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.62","point_pair":"A-C","question_id":"coordinate_geometry_1670_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1670_q3","question_text":"Which two points are closest together? 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new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1733} +{"all_pairwise_distances":{"A-B":4.47,"A-C":2.24,"A-D":10.63,"B-C":6.4,"B-D":9.85,"C-D":10.3},"all_pairwise_midpoints":{"A-B":[3.0,-1.0],"A-C":[1.0,-3.5],"A-D":[-1.5,1.0],"B-C":[2.0,-1.5],"B-D":[-0.5,3.0],"C-D":[-2.5,0.5]},"canvas_size":[507,524],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1734","image_path":"images/coordinate_geometry_1734.png","is_collinear_triple":false,"num_points":4,"points":{"A":[2,-3],"B":[4,1],"C":[0,-4],"D":[-5,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, 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+{"all_pairwise_distances":{"A-B":14.21},"all_pairwise_midpoints":{"A-B":[-0.5,-1.5]},"canvas_size":[527,542],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1735","image_path":"images/coordinate_geometry_1735.png","is_collinear_triple":false,"num_points":2,"points":{"A":[4,4],"B":[-5,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, -7)","point_label":"B","question_id":"coordinate_geometry_1735_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.21","point_pair":"A-B","question_id":"coordinate_geometry_1735_q2","question_text":"What is the distance 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.70","question_id":"coordinate_geometry_1755_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1755} +{"all_pairwise_distances":{"A-B":5.83},"all_pairwise_midpoints":{"A-B":[5.5,4.5]},"canvas_size":[548,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1756","image_path":"images/coordinate_geometry_1756.png","is_collinear_triple":false,"num_points":2,"points":{"A":[7,2],"B":[4,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(4, 7)","point_label":"B","question_id":"coordinate_geometry_1756_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.83","point_pair":"A-B","question_id":"coordinate_geometry_1756_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1756_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"4.47","question_id":"coordinate_geometry_1758_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1758} +{"all_pairwise_distances":{"A-B":13.6},"all_pairwise_midpoints":{"A-B":[-5.0,-1.5]},"canvas_size":[548,528],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1759","image_path":"images/coordinate_geometry_1759.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-3,5],"B":[-7,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, -8)","point_label":"B","question_id":"coordinate_geometry_1759_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.60","point_pair":"A-B","question_id":"coordinate_geometry_1759_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1759_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.05","question_id":"coordinate_geometry_1774_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1774} +{"all_pairwise_distances":{"A-B":13.04,"A-C":9.49,"B-C":12.81},"all_pairwise_midpoints":{"A-B":[-0.5,3.5],"A-C":[-5.5,-0.5],"B-C":[1.0,-1.0]},"canvas_size":[524,506],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1775","image_path":"images/coordinate_geometry_1775.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-7,4],"B":[6,3],"C":[-4,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -5)","point_label":"C","question_id":"coordinate_geometry_1775_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.81","point_pair":"B-C","question_id":"coordinate_geometry_1775_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1775_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-5","question_id":"coordinate_geometry_1775_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.00","question_id":"coordinate_geometry_1775_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1775} +{"all_pairwise_distances":{"A-B":2.83,"A-C":13.04,"A-D":9.43,"B-C":12.73,"B-D":6.71,"C-D":12.37},"all_pairwise_midpoints":{"A-B":[-4.0,4.0],"A-C":[0.5,-0.5],"A-D":[-1.0,5.5],"B-C":[1.5,0.5],"B-D":[0.0,6.5],"C-D":[4.5,2.0]},"canvas_size":[539,537],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1776","image_path":"images/coordinate_geometry_1776.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-5,3],"B":[-3,5],"C":[6,-4],"D":[3,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, -4)","point_label":"C","question_id":"coordinate_geometry_1776_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"13.04","point_pair":"A-C","question_id":"coordinate_geometry_1776_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1776_q3","question_text":"Which two points are closest together? Answer with both labels.","question_type":"closest_pair"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"BCD","question_id":"coordinate_geometry_1776_q4","question_text":"Are points B, C, and D collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.00","question_id":"coordinate_geometry_1778_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1778} +{"all_pairwise_distances":{"A-B":5.39,"A-C":12.04,"A-D":10.0,"B-C":7.21,"B-D":9.43,"C-D":9.22},"all_pairwise_midpoints":{"A-B":[-6.0,4.5],"A-C":[-3.0,2.5],"A-D":[-2.0,7.0],"B-C":[-2.0,0.0],"B-D":[-1.0,4.5],"C-D":[2.0,2.5]},"canvas_size":[532,517],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1779","image_path":"images/coordinate_geometry_1779.png","is_collinear_triple":false,"num_points":4,"points":{"A":[-7,7],"B":[-5,2],"C":[1,-2],"D":[3,7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, 7)","point_label":"D","question_id":"coordinate_geometry_1779_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"9.43","point_pair":"B-D","question_id":"coordinate_geometry_1779_q2","question_text":"What is the distance between point B and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1779_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.25","question_id":"coordinate_geometry_1782_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1782} +{"all_pairwise_distances":{"A-B":10.05},"all_pairwise_midpoints":{"A-B":[3.0,-6.5]},"canvas_size":[531,524],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1783","image_path":"images/coordinate_geometry_1783.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-2,-6],"B":[8,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, -6)","point_label":"A","question_id":"coordinate_geometry_1783_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.05","point_pair":"A-B","question_id":"coordinate_geometry_1783_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(3, -6.5)","point_pair":"A-B","question_id":"coordinate_geometry_1783_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"6","question_id":"coordinate_geometry_1783_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.00","question_id":"coordinate_geometry_1783_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1783} +{"all_pairwise_distances":{"A-B":16.28,"A-C":5.0,"B-C":17.89},"all_pairwise_midpoints":{"A-B":[-2.0,-2.5],"A-C":[6.0,1.5],"B-C":[0.0,-4.0]},"canvas_size":[503,502],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1784","image_path":"images/coordinate_geometry_1784.png","is_collinear_triple":false,"num_points":3,"points":{"A":[4,3],"B":[-8,-8],"C":[8,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, 0)","point_label":"C","question_id":"coordinate_geometry_1784_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"17.89","point_pair":"B-C","question_id":"coordinate_geometry_1784_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1784_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.26","question_id":"coordinate_geometry_1831_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1831} +{"all_pairwise_distances":{"A-B":11.4,"A-C":8.94,"B-C":5.1},"all_pairwise_midpoints":{"A-B":[-3.5,4.5],"A-C":[-6.0,4.0],"B-C":[-1.5,0.5]},"canvas_size":[531,546],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1832","image_path":"images/coordinate_geometry_1832.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-8,8],"B":[1,1],"C":[-4,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, 1)","point_label":"B","question_id":"coordinate_geometry_1832_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.10","point_pair":"B-C","question_id":"coordinate_geometry_1832_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-6, 4)","point_pair":"A-C","question_id":"coordinate_geometry_1832_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"no","point_triple":"ABC","question_id":"coordinate_geometry_1832_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Answer with both labels.","question_type":"closest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"greater than","point_pair":"A-B","question_id":"coordinate_geometry_1861_q4","question_text":"The distance from point A to point B is 14.32 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"14.42","question_id":"coordinate_geometry_1861_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1861} +{"all_pairwise_distances":{"A-B":8.94,"A-C":15.65,"B-C":6.71},"all_pairwise_midpoints":{"A-B":[-3.0,3.0],"A-C":[0.0,1.5],"B-C":[4.0,-0.5]},"canvas_size":[517,537],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1862","image_path":"images/coordinate_geometry_1862.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-7,5],"B":[1,1],"C":[7,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, 1)","point_label":"B","question_id":"coordinate_geometry_1862_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.71","point_pair":"B-C","question_id":"coordinate_geometry_1862_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_1862_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"16.12","question_id":"coordinate_geometry_1864_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1864} +{"all_pairwise_distances":{"A-B":3.0,"A-C":7.0,"B-C":4.0},"all_pairwise_midpoints":{"A-B":[-0.5,0.0],"A-C":[1.5,0.0],"B-C":[3.0,0.0]},"canvas_size":[544,510],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1865","image_path":"images/coordinate_geometry_1865.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-2,0],"B":[1,0],"C":[5,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, 0)","point_label":"C","question_id":"coordinate_geometry_1865_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"4.00","point_pair":"B-C","question_id":"coordinate_geometry_1865_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1865_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.62","question_id":"coordinate_geometry_1968_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1968} +{"all_pairwise_distances":{"A-B":8.06},"all_pairwise_midpoints":{"A-B":[-5.0,-0.5]},"canvas_size":[525,544],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1969","image_path":"images/coordinate_geometry_1969.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-3,-4],"B":[-7,3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, -4)","point_label":"A","question_id":"coordinate_geometry_1969_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.06","point_pair":"A-B","question_id":"coordinate_geometry_1969_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1969_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.00","question_id":"coordinate_geometry_1969_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1969} +{"all_pairwise_distances":{"A-B":5.0,"A-C":14.14,"B-C":14.32},"all_pairwise_midpoints":{"A-B":[-3.5,1.0],"A-C":[3.0,-2.0],"B-C":[1.5,-4.0]},"canvas_size":[508,541],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1970","image_path":"images/coordinate_geometry_1970.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-2,3],"B":[-5,-1],"C":[8,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, 3)","point_label":"A","question_id":"coordinate_geometry_1970_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.32","point_pair":"B-C","question_id":"coordinate_geometry_1970_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1970_q3","question_text":"Which two points are closest together? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_1978_q4","question_text":"The distance from point A to point B is 7.28 units. Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.00","question_id":"coordinate_geometry_1978_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1978} +{"all_pairwise_distances":{"A-B":11.18,"A-C":16.28,"B-C":5.1},"all_pairwise_midpoints":{"A-B":[-5.0,-2.5],"A-C":[-5.5,0.0],"B-C":[-6.5,5.5]},"canvas_size":[505,533],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1979","image_path":"images/coordinate_geometry_1979.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-4,-8],"B":[-6,3],"C":[-7,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-7, 8)","point_label":"C","question_id":"coordinate_geometry_1979_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.18","point_pair":"A-B","question_id":"coordinate_geometry_1979_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1979_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"12.65","question_id":"coordinate_geometry_1979_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1979} +{"all_pairwise_distances":{"A-B":16.64,"A-C":10.44,"A-D":13.0,"B-C":11.05,"B-D":14.56,"C-D":4.24},"all_pairwise_midpoints":{"A-B":[1.0,0.5],"A-C":[6.5,0.0],"A-D":[8.0,-1.5],"B-C":[-0.5,-4.5],"B-D":[1.0,-6.0],"C-D":[6.5,-6.5]},"canvas_size":[500,524],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1980","image_path":"images/coordinate_geometry_1980.png","is_collinear_triple":false,"num_points":4,"points":{"A":[8,5],"B":[-6,-4],"C":[5,-5],"D":[8,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, -5)","point_label":"C","question_id":"coordinate_geometry_1980_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"14.56","point_pair":"B-D","question_id":"coordinate_geometry_1980_q2","question_text":"What is the distance between point B and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_1980_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"17.89","question_id":"coordinate_geometry_1980_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1980} +{"all_pairwise_distances":{"A-B":7.0},"all_pairwise_midpoints":{"A-B":[-0.5,-4.0]},"canvas_size":[511,506],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1981","image_path":"images/coordinate_geometry_1981.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-4,-4],"B":[3,-4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(3, -4)","point_label":"B","question_id":"coordinate_geometry_1981_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.00","point_pair":"A-B","question_id":"coordinate_geometry_1981_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-0.5, -4)","point_pair":"A-B","question_id":"coordinate_geometry_1981_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-1","question_id":"coordinate_geometry_1981_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.10","question_id":"coordinate_geometry_1981_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1981} +{"all_pairwise_distances":{"A-B":6.71,"A-C":8.94,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[3.0,-0.5],"A-C":[4.0,-1.0],"B-C":[7.0,-2.5]},"canvas_size":[550,550],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1982","image_path":"images/coordinate_geometry_1982.png","is_collinear_triple":true,"num_points":3,"points":{"A":[0,1],"B":[6,-2],"C":[8,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, 1)","point_label":"A","question_id":"coordinate_geometry_1982_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"B-C","question_id":"coordinate_geometry_1982_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_1982_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.81","question_id":"coordinate_geometry_1988_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":1988} +{"all_pairwise_distances":{"A-B":11.18,"A-C":13.42,"A-D":12.37,"B-C":2.24,"B-D":2.83,"C-D":3.0},"all_pairwise_midpoints":{"A-B":[1.0,-0.5],"A-C":[2.0,0.0],"A-D":[2.0,-1.5],"B-C":[7.0,2.5],"B-D":[7.0,1.0],"C-D":[8.0,1.5]},"canvas_size":[536,510],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_1989","image_path":"images/coordinate_geometry_1989.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-4,-3],"B":[6,2],"C":[8,3],"D":[8,0]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, -3)","point_label":"A","question_id":"coordinate_geometry_1989_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"12.37","point_pair":"A-D","question_id":"coordinate_geometry_1989_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(8, 1.5)","point_pair":"C-D","question_id":"coordinate_geometry_1989_q3","question_text":"What are the coordinates of the midpoint between point C and point D?","question_type":"pair_midpoint"},{"answer_format":"yes_no","difficulty_level":4,"ground_truth":"yes","point_triple":"ABC","question_id":"coordinate_geometry_1989_q4","question_text":"Are points A, B, and C collinear (do they lie on one straight line)? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.00","question_id":"coordinate_geometry_2061_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2061} +{"all_pairwise_distances":{"A-B":9.0},"all_pairwise_midpoints":{"A-B":[1.5,8.0]},"canvas_size":[521,539],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2062","image_path":"images/coordinate_geometry_2062.png","is_collinear_triple":false,"num_points":2,"points":{"A":[6,8],"B":[-3,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, 8)","point_label":"B","question_id":"coordinate_geometry_2062_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"9.00","point_pair":"A-B","question_id":"coordinate_geometry_2062_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2062_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.49","question_id":"coordinate_geometry_2202_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2202} +{"all_pairwise_distances":{"A-B":8.94},"all_pairwise_midpoints":{"A-B":[6.0,-3.0]},"canvas_size":[534,548],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2203","image_path":"images/coordinate_geometry_2203.png","is_collinear_triple":false,"num_points":2,"points":{"A":[8,1],"B":[4,-7]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(8, 1)","point_label":"A","question_id":"coordinate_geometry_2203_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.94","point_pair":"A-B","question_id":"coordinate_geometry_2203_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(6, -3)","point_pair":"A-B","question_id":"coordinate_geometry_2203_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"less than","point_pair":"A-B","question_id":"coordinate_geometry_2203_q4","question_text":"The distance from point A to point B is 8.94 units. 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.44","question_id":"coordinate_geometry_2212_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2212} +{"all_pairwise_distances":{"A-B":10.0,"A-C":8.25,"B-C":8.0},"all_pairwise_midpoints":{"A-B":[-1.0,3.0],"A-C":[-1.0,-1.0],"B-C":[-5.0,2.0]},"canvas_size":[519,533],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2213","image_path":"images/coordinate_geometry_2213.png","is_collinear_triple":false,"num_points":3,"points":{"A":[3,0],"B":[-5,6],"C":[-5,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 6)","point_label":"B","question_id":"coordinate_geometry_2213_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.25","point_pair":"A-C","question_id":"coordinate_geometry_2213_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-1, 3)","point_pair":"A-B","question_id":"coordinate_geometry_2213_q3","question_text":"What are the coordinates of the midpoint between point A and point B?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-7","question_id":"coordinate_geometry_2213_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"12.21","question_id":"coordinate_geometry_2213_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2213} +{"all_pairwise_distances":{"A-B":9.85,"A-C":3.61,"A-D":6.4,"B-C":9.9,"B-D":15.81,"C-D":6.32},"all_pairwise_midpoints":{"A-B":[3.0,-3.5],"A-C":[-0.5,0.0],"A-D":[-1.5,3.0],"B-C":[1.5,-4.5],"B-D":[0.5,-1.5],"C-D":[-3.0,2.0]},"canvas_size":[517,544],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2214","image_path":"images/coordinate_geometry_2214.png","is_collinear_triple":false,"num_points":4,"points":{"A":[1,1],"B":[5,-8],"C":[-2,-1],"D":[-4,5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-2, -1)","point_label":"C","question_id":"coordinate_geometry_2214_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"6.40","point_pair":"A-D","question_id":"coordinate_geometry_2214_q2","question_text":"What is the distance between point A and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_2214_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.81","question_id":"coordinate_geometry_2222_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2222} +{"all_pairwise_distances":{"A-B":2.24,"A-C":15.65,"A-D":5.0,"B-C":13.42,"B-D":3.16,"C-D":11.4},"all_pairwise_midpoints":{"A-B":[-7.0,-2.5],"A-C":[-1.0,0.5],"A-D":[-6.5,-1.0],"B-C":[0.0,1.0],"B-D":[-5.5,-0.5],"C-D":[0.5,2.5]},"canvas_size":[547,540],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2223","image_path":"images/coordinate_geometry_2223.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-8,-3],"B":[-6,-2],"C":[6,4],"D":[-5,1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-5, 1)","point_label":"D","question_id":"coordinate_geometry_2223_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"A-B","question_id":"coordinate_geometry_2223_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(-6.5, -1)","point_pair":"A-D","question_id":"coordinate_geometry_2223_q3","question_text":"What are the coordinates of the midpoint between point A and point D?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-13","question_id":"coordinate_geometry_2223_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.00","question_id":"coordinate_geometry_2223_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2223} +{"all_pairwise_distances":{"A-B":15.56},"all_pairwise_midpoints":{"A-B":[2.5,-1.5]},"canvas_size":[547,544],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2224","image_path":"images/coordinate_geometry_2224.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-3,-7],"B":[8,4]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, -7)","point_label":"A","question_id":"coordinate_geometry_2224_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"15.56","point_pair":"A-B","question_id":"coordinate_geometry_2224_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2224_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.83","question_id":"coordinate_geometry_2554_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2554} +{"all_pairwise_distances":{"A-B":7.81,"A-C":14.32,"B-C":8.0},"all_pairwise_midpoints":{"A-B":[3.0,-2.5],"A-C":[3.0,1.5],"B-C":[0.0,4.0]},"canvas_size":[519,502],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2555","image_path":"images/coordinate_geometry_2555.png","is_collinear_triple":false,"num_points":3,"points":{"A":[6,-5],"B":[0,0],"C":[0,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(6, -5)","point_label":"A","question_id":"coordinate_geometry_2555_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"7.81","point_pair":"A-B","question_id":"coordinate_geometry_2555_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"coordinate","difficulty_level":3,"ground_truth":"(3, 1.5)","point_pair":"A-C","question_id":"coordinate_geometry_2555_q3","question_text":"What are the coordinates of the midpoint between point A and point C?","question_type":"pair_midpoint"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"6","question_id":"coordinate_geometry_2555_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"10.00","question_id":"coordinate_geometry_2555_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2555} +{"all_pairwise_distances":{"A-B":7.21,"A-C":11.05,"A-D":10.77,"B-C":7.07,"B-D":14.14,"C-D":11.4},"all_pairwise_midpoints":{"A-B":[4.0,-2.0],"A-C":[1.5,0.5],"A-D":[-3.0,-3.0],"B-C":[3.5,3.5],"B-D":[-1.0,0.0],"C-D":[-3.5,2.5]},"canvas_size":[506,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2556","image_path":"images/coordinate_geometry_2556.png","is_collinear_triple":false,"num_points":4,"points":{"A":[2,-5],"B":[6,1],"C":[1,6],"D":[-8,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-8, -1)","point_label":"D","question_id":"coordinate_geometry_2556_q1","question_text":"What are the coordinates of point D?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.05","point_pair":"A-C","question_id":"coordinate_geometry_2556_q2","question_text":"What is the distance between point A and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_2556_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"7.28","question_id":"coordinate_geometry_2556_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2556} +{"all_pairwise_distances":{"A-B":5.0},"all_pairwise_midpoints":{"A-B":[-5.0,-1.5]},"canvas_size":[500,518],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2557","image_path":"images/coordinate_geometry_2557.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-7,0],"B":[-3,-3]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-3, -3)","point_label":"B","question_id":"coordinate_geometry_2557_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.00","point_pair":"A-B","question_id":"coordinate_geometry_2557_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2557_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"2.83","question_id":"coordinate_geometry_2557_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2557} +{"all_pairwise_distances":{"A-B":11.7,"A-C":16.4,"B-C":14.14},"all_pairwise_midpoints":{"A-B":[-2.5,4.0],"A-C":[-1.5,-3.0],"B-C":[4.0,-1.0]},"canvas_size":[532,521],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2558","image_path":"images/coordinate_geometry_2558.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-8,2],"B":[3,6],"C":[5,-8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, -8)","point_label":"C","question_id":"coordinate_geometry_2558_q1","question_text":"What are the coordinates of point C?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"11.70","point_pair":"A-B","question_id":"coordinate_geometry_2558_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2558_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"15.00","question_id":"coordinate_geometry_2559_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2559} +{"all_pairwise_distances":{"A-B":8.49},"all_pairwise_midpoints":{"A-B":[-1.0,2.0]},"canvas_size":[528,516],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2560","image_path":"images/coordinate_geometry_2560.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-4,5],"B":[2,-1]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-4, 5)","point_label":"A","question_id":"coordinate_geometry_2560_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.49","point_pair":"A-B","question_id":"coordinate_geometry_2560_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2560_q3","question_text":"Which two points are closest together? 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Answer with both labels.","question_type":"farthest_pair"},{"answer_format":"integer","difficulty_level":4,"ground_truth":"-4","question_id":"coordinate_geometry_2857_q4","question_text":"What is the sum of the x-coordinates of all points in this image?","question_type":"sum_x_coordinates"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"12.21","question_id":"coordinate_geometry_2857_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2857} +{"all_pairwise_distances":{"A-B":10.63,"A-C":5.83,"B-C":13.0},"all_pairwise_midpoints":{"A-B":[1.5,-1.0],"A-C":[-4.5,-3.5],"B-C":[-1.0,0.5]},"canvas_size":[538,514],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.42,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2858","image_path":"images/coordinate_geometry_2858.png","is_collinear_triple":false,"num_points":3,"points":{"A":[-2,-5],"B":[5,3],"C":[-7,-2]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(5, 3)","point_label":"B","question_id":"coordinate_geometry_2858_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"10.63","point_pair":"A-B","question_id":"coordinate_geometry_2858_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_2858_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.54","question_id":"coordinate_geometry_2861_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2861} +{"all_pairwise_distances":{"A-B":14.14,"A-C":8.0,"A-D":13.04,"B-C":6.32,"B-D":5.83,"C-D":7.62},"all_pairwise_midpoints":{"A-B":[1.0,0.0],"A-C":[4.0,-1.0],"A-D":[2.5,2.5],"B-C":[-3.0,0.0],"B-D":[-4.5,3.5],"C-D":[-1.5,2.5]},"canvas_size":[542,513],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.54,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2862","image_path":"images/coordinate_geometry_2862.png","is_collinear_triple":false,"num_points":4,"points":{"A":[8,-1],"B":[-6,1],"C":[0,-1],"D":[-3,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-6, 1)","point_label":"B","question_id":"coordinate_geometry_2862_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"5.83","point_pair":"B-D","question_id":"coordinate_geometry_2862_q2","question_text":"What is the distance between point B and point D, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2862_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"5.00","question_id":"coordinate_geometry_2865_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2865} +{"all_pairwise_distances":{"A-B":9.49},"all_pairwise_midpoints":{"A-B":[3.5,-0.5]},"canvas_size":[530,542],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2866","image_path":"images/coordinate_geometry_2866.png","is_collinear_triple":false,"num_points":2,"points":{"A":[2,4],"B":[5,-5]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(2, 4)","point_label":"A","question_id":"coordinate_geometry_2866_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"9.49","point_pair":"A-B","question_id":"coordinate_geometry_2866_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2866_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"11.40","question_id":"coordinate_geometry_2952_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2952} +{"all_pairwise_distances":{"A-B":8.6},"all_pairwise_midpoints":{"A-B":[-2.5,5.5]},"canvas_size":[524,536],"collinear_labels":[],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.3,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2953","image_path":"images/coordinate_geometry_2953.png","is_collinear_triple":false,"num_points":2,"points":{"A":[-6,3],"B":[1,8]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(1, 8)","point_label":"B","question_id":"coordinate_geometry_2953_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.60","point_pair":"A-B","question_id":"coordinate_geometry_2953_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and B","question_id":"coordinate_geometry_2953_q3","question_text":"Which two points are closest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"3.16","question_id":"coordinate_geometry_2954_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2954} +{"all_pairwise_distances":{"A-B":8.94,"A-C":15.65,"A-D":10.82,"B-C":6.71,"B-D":5.39,"C-D":8.25},"all_pairwise_midpoints":{"A-B":[-4.0,1.0],"A-C":[-1.0,-0.5],"A-D":[-5.0,-1.5],"B-C":[3.0,-2.5],"B-D":[-1.0,-3.5],"C-D":[2.0,-5.0]},"canvas_size":[541,502],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.74,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2955","image_path":"images/coordinate_geometry_2955.png","is_collinear_triple":true,"num_points":4,"points":{"A":[-8,3],"B":[0,-1],"C":[6,-4],"D":[-2,-6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(0, -1)","point_label":"B","question_id":"coordinate_geometry_2955_q1","question_text":"What are the coordinates of point B?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"8.94","point_pair":"A-B","question_id":"coordinate_geometry_2955_q2","question_text":"What is the distance between point A and point B, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"A and C","question_id":"coordinate_geometry_2955_q3","question_text":"Which two points are farthest together? 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Is this greater than, less than, or equal to 10 units?","question_type":"distance_vs_10"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"8.54","question_id":"coordinate_geometry_2956_q5","question_text":"If point A moved 2 units right and 1 unit down, what would its new distance from point B be, rounded to two decimals?","question_type":"move_point_new_distance"}],"seed":2956} +{"all_pairwise_distances":{"A-B":11.18,"A-C":13.42,"B-C":2.24},"all_pairwise_midpoints":{"A-B":[1.5,-1.0],"A-C":[2.0,0.0],"B-C":[4.5,5.0]},"canvas_size":[501,522],"collinear_labels":["A","B","C"],"dataset_version":"coordinate-geometry-5.0.0","difficulty_score":0.62,"frame_conventions":{"question_interpretation":"same_as_visible_render_unless_question_explicitly_states_counterfactual","render":"image_pixel_frame","stored_geometry":"generator_native_frame"},"grid_range":[-10,10],"id":"coordinate_geometry_2957","image_path":"images/coordinate_geometry_2957.png","is_collinear_triple":true,"num_points":3,"points":{"A":[-1,-6],"B":[4,4],"C":[5,6]},"questions":[{"answer_format":"coordinate","difficulty_level":1,"ground_truth":"(-1, -6)","point_label":"A","question_id":"coordinate_geometry_2957_q1","question_text":"What are the coordinates of point A?","question_type":"point_coordinates"},{"answer_format":"numeric_2dp","difficulty_level":2,"ground_truth":"2.24","point_pair":"B-C","question_id":"coordinate_geometry_2957_q2","question_text":"What is the distance between point B and point C, rounded to 2 decimal places?","question_type":"pair_distance"},{"answer_format":"label_pair","difficulty_level":3,"ground_truth":"B and C","question_id":"coordinate_geometry_2957_q3","question_text":"Which two points are closest together? 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