geometry tasks¶

Generated by scripts/generate_task_catalog.py; do not edit by hand.

This domain contains 170 active tasks across 40 scenes.

Scenes¶

Scene	Tasks
`angle_relations`	5
`area_partition`	1
`bearing_route`	2
`circle_centerline_overlap`	1
`circle_pair_tangents`	1
`circle_polygon_composite`	2
`circle_theorem`	16
`composite_shape`	10
`concentric_chord`	2
`cone_net`	2
`container_volume_transfer`	2
`coordinate_composite`	3
`coordinate_panels`	3
`coordinate_plane`	12
`cuboid_views`	1
`cylinder_wrap`	2
`function_graph`	3
`function_panels`	6
`graph_paper`	15
`incircle_tangents`	2
`measuring_tools`	2
`paper_fold`	2
`polar_graph_paper`	3
`polygon_equation_diagram`	7
`pythagorean_dissection`	1
`pythagorean_tree`	1
`rectangular_solid`	4
`regular_polygon_decomposition`	5
`sector`	5
`shape_reference`	5
`similar_figure_measure_transfer`	3
`solid_cross_section`	2
`solid_formula`	4
`solid_revolution`	5
`special_quadrilateral`	2
`survey_traverse`	3
`tangent_packing`	6
`trapezoid_extension`	5
`triangle_relations`	12
`volume_equivalence_conversion`	2

angle_relations¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__angle_relations__algebraic_angle_value`	`algebraic_angle_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__angle_relations__parallel_algebraic_angle_value`	`parallel_algebraic_angle_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__angle_relations__parallel_supplement_angle`	`parallel_supplement_angle`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__angle_relations__parallel_transversal_triangle_angle_value`	`parallel_transversal_triangle_angle_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__angle_relations__triangle_exterior_angle`	`triangle_exterior_angle`	`integer`	`point_map`	`formula_evaluation`	source

area_partition¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__area_partition__total_area_value`	`total_area_value`	`integer`	`bbox_map`	`formula_evaluation`	source

bearing_route¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__bearing_route__endpoint_position_label`	`endpoint_position_label`	`option_letter`	`point_map`	`spatial_relations`, `state_update`	source
`task_geometry__bearing_route__final_bearing_value`	`final_bearing_value`	`option_letter`	`point_map`	`spatial_relations`, `formula_evaluation`	source

circle_centerline_overlap¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__circle_centerline_overlap__segment_length_value`	`segment_length_value`	`integer`	`segment`	`formula_evaluation`	source

circle_pair_tangents¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__circle_pair_tangents__external_tangent_segment_length_value`	`external_tangent_segment_length_value`	`integer`	`point_map`	`formula_evaluation`	source

circle_polygon_composite¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__circle_polygon_composite__tangent_angle_value`	`tangent_angle_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_polygon_composite__tangential_quadrilateral_side_length_value`	`tangential_quadrilateral_side_length_value`	`integer`	`point_map`	`formula_evaluation`	source

circle_theorem¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__circle_theorem__chord_length_from_radius_central_angle_value`	`chord_length_from_radius_central_angle_value`	`number`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__chord_length_from_radius_inscribed_angle_value`	`chord_length_from_radius_inscribed_angle_value`	`number`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__cyclic_quadrilateral_exterior_angle_value`	`cyclic_quadrilateral_exterior_angle_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__cyclic_quadrilateral_opposite_angle_value`	`cyclic_quadrilateral_opposite_angle_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__diameter_perpendicular_chord_length_value`	`diameter_perpendicular_chord_length_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__external_secant_angle_value`	`external_secant_angle_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__inscribed_angle_value_inscribed_angle_from_arc`	`inscribed_angle_value_inscribed_angle_from_arc`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__inscribed_central_angle_value`	`inscribed_central_angle_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__intersecting_chords_arc_measure_value`	`intersecting_chords_arc_measure_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__multi_step_angle_value`	`multi_step_angle_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__radius_from_external_distance_and_angle_value`	`radius_from_external_distance_and_angle_value`	`number`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__secant_secant_length_value`	`secant_secant_length_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__tangent_chord_angle_value_tangent_chord_angle_from_arc`	`tangent_chord_angle_value_tangent_chord_angle_from_arc`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__tangent_chord_angle_value_tangent_chord_angle_from_inscribed`	`tangent_chord_angle_value_tangent_chord_angle_from_inscribed`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__tangent_length_from_radius_and_external_distance_value`	`tangent_length_from_radius_and_external_distance_value`	`number`	`point_map`	`formula_evaluation`	source
`task_geometry__circle_theorem__tangent_secant_length_value`	`tangent_secant_length_value`	`integer`	`point_map`	`formula_evaluation`	source

composite_shape¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__composite_shape__house_outline_perimeter`	`house_outline_perimeter`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__composite_shape__l_profile_area`	`l_profile_area`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__composite_shape__missing_width_from_semicircle_area`	`missing_width_from_semicircle_area`	`number`	`point_map`	`formula_evaluation`	source
`task_geometry__composite_shape__rectangle_quarter_sector_cutout_area`	`rectangle_quarter_sector_cutout_area`	`number`	`point_map`	`formula_evaluation`	source
`task_geometry__composite_shape__rectangle_quarter_sector_cutout_perimeter`	`rectangle_quarter_sector_cutout_perimeter`	`number`	`point_map`	`formula_evaluation`	source
`task_geometry__composite_shape__rectangle_semicircle_area`	`rectangle_semicircle_area`	`number`	`point_map`	`formula_evaluation`	source
`task_geometry__composite_shape__rectangle_semicircle_perimeter`	`rectangle_semicircle_perimeter`	`number`	`point_map`	`formula_evaluation`	source
`task_geometry__composite_shape__rectangle_triangle_cutout_area`	`rectangle_triangle_cutout_area`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__composite_shape__sector_angle_value`	`sector_angle_value`	`number`	`point_map`	`formula_evaluation`	source
`task_geometry__composite_shape__tabbed_rectilinear_perimeter`	`tabbed_rectilinear_perimeter`	`integer`	`point_map`	`formula_evaluation`	source

concentric_chord¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__concentric_chord__chord_length_from_radii`	`chord_length_from_radii`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__concentric_chord__inner_radius_from_chord`	`inner_radius_from_chord`	`integer`	`point_map`	`formula_evaluation`	source

cone_net¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__cone_net__base_radius_from_sector_angle`	`base_radius_from_sector_angle`	`number`	`point_map`	`formula_evaluation`	source
`task_geometry__cone_net__height_from_sector_angle`	`height_from_sector_angle`	`number`	`point_map`	`formula_evaluation`	source

container_volume_transfer¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__container_volume_transfer__fill_count_value`	`fill_count_value`	`integer`	`bbox_map`	`counting`, `formula_evaluation`	source
`task_geometry__container_volume_transfer__resulting_height_value`	`resulting_height_value`	`number`	`bbox_map`	`formula_evaluation`	source

coordinate_composite¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__coordinate_composite__boundary_point_match_label`	`boundary_point_match_label`	`option_letter`	`point`	`logical_composition`, `spatial_relations`, `matching`	source
`task_geometry__coordinate_composite__intersection_point_count`	`intersection_point_count`	`integer`	`point_set`	`counting`, `spatial_relations`	source
`task_geometry__coordinate_composite__region_membership_label`	`region_membership_label`	`option_letter`	`point`	`spatial_relations`	source

coordinate_panels¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__coordinate_panels__point_set_transform_match_label`	`point_set_transform_match_label`	`option_letter`	`point_set`	`transformation`, `matching`	source
`task_geometry__coordinate_panels__quadrilateral_shape_match_label`	`quadrilateral_shape_match_label`	`option_letter`	`point_set`	`spatial_relations`, `matching`	source
`task_geometry__coordinate_panels__segment_relation_match_label`	`segment_relation_match_label`	`option_letter`	`segment_set`	`spatial_relations`, `matching`	source

coordinate_plane¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__coordinate_plane__collinear_point_count`	`collinear_point_count`	`integer`	`point_set`	`filtering`, `counting`, `spatial_relations`	source
`task_geometry__coordinate_plane__locus_panel_match_label`	`locus_panel_match_label`	`option_letter`	`bbox`	`comparison`, `logical_composition`, `spatial_relations`, `matching`	source
`task_geometry__coordinate_plane__locus_point_label`	`locus_point_label`	`option_letter`	`point`	`spatial_relations`	source
`task_geometry__coordinate_plane__missing_endpoint_label`	`missing_endpoint_label`	`option_letter`	`point`	`spatial_relations`, `formula_evaluation`	source
`task_geometry__coordinate_plane__point_in_polygon_count`	`point_in_polygon_count`	`integer`	`point_set`	`filtering`, `counting`, `spatial_relations`	source
`task_geometry__coordinate_plane__quadrilateral_completion_label`	`quadrilateral_completion_label`	`option_letter`	`point`	`spatial_relations`, `matching`	source
`task_geometry__coordinate_plane__reflected_point_label`	`reflected_point_label`	`option_letter`	`point`	`transformation`	source
`task_geometry__coordinate_plane__rotated_point_label`	`rotated_point_label`	`option_letter`	`point`	`transformation`	source
`task_geometry__coordinate_plane__same_quadrant_point_count`	`same_quadrant_point_count`	`integer`	`point_set`	`filtering`, `counting`, `spatial_relations`	source
`task_geometry__coordinate_plane__section_point_label`	`section_point_label`	`option_letter`	`point`	`spatial_relations`, `formula_evaluation`	source
`task_geometry__coordinate_plane__segment_relation_count`	`segment_relation_count`	`integer`	`segment_set`	`filtering`, `counting`, `spatial_relations`	source
`task_geometry__coordinate_plane__translated_point_label`	`translated_point_label`	`option_letter`	`point`	`transformation`	source

cuboid_views¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__cuboid_views__cuboid_projection_surface_area_value`	`cuboid_projection_surface_area_value`	`integer`	`bbox_map`	`transformation`, `formula_evaluation`	source

cylinder_wrap¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__cylinder_wrap__surface_path_length_value`	`surface_path_length_value`	`integer`	`bbox_map`	`topology`, `transformation`, `formula_evaluation`	source
`task_geometry__cylinder_wrap__wrapped_mark_position_label`	`wrapped_mark_position_label`	`option_letter`	`point_map`	`transformation`, `matching`	source

function_graph¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__function_graph__average_rate_value`	`average_rate_value`	`number`	`point_map`	`formula_evaluation`	source
`task_geometry__function_graph__extremum_count_local_extremum_count`	`extremum_count_local_extremum_count`	`integer`	`point_set`	`filtering`, `counting`, `ranking`	source
`task_geometry__function_graph__extremum_count_turning_point_count`	`extremum_count_turning_point_count`	`integer`	`point_set`	`filtering`, `counting`, `ranking`	source

function_panels¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__function_panels__function_status_label`	`function_status_label`	`option_letter`	`bbox`	`spatial_relations`, `matching`	source
`task_geometry__function_panels__intersection_property_label`	`intersection_property_label`	`option_letter`	`bbox`	`spatial_relations`	source
`task_geometry__function_panels__one_to_one_status_label`	`one_to_one_status_label`	`option_letter`	`bbox`	`spatial_relations`, `matching`	source
`task_geometry__function_panels__range_match_label`	`range_match_label`	`option_letter`	`bbox`	`matching`	source
`task_geometry__function_panels__sign_interval_label`	`sign_interval_label`	`option_letter`	`bbox`	`comparison`	source
`task_geometry__function_panels__x_axis_symmetry_label`	`x_axis_symmetry_label`	`option_letter`	`bbox`	`transformation`, `matching`	source

graph_paper¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__graph_paper__angle_extremum_label`	`angle_extremum_label`	`option_letter`	`point`	`ranking`, `formula_evaluation`	source
`task_geometry__graph_paper__angle_type_count`	`angle_type_count`	`integer`	`bbox_set`	`filtering`, `counting`, `formula_evaluation`	source
`task_geometry__graph_paper__area_extremum_label`	`area_extremum_label`	`option_letter`	`bbox`	`ranking`, `formula_evaluation`	source
`task_geometry__graph_paper__circle_circumference_value`	`circle_circumference_value`	`string`	`bbox`	`formula_evaluation`	source
`task_geometry__graph_paper__ellipse_area_value`	`ellipse_area_value`	`string`	`bbox`	`formula_evaluation`	source
`task_geometry__graph_paper__length_extremum_label`	`length_extremum_label`	`option_letter`	`segment`	`ranking`, `formula_evaluation`	source
`task_geometry__graph_paper__line_slope_value`	`line_slope_value`	`number`	`segment`	`formula_evaluation`	source
`task_geometry__graph_paper__perimeter_extremum_label`	`perimeter_extremum_label`	`option_letter`	`bbox`	`ranking`, `formula_evaluation`	source
`task_geometry__graph_paper__polygon_area_value`	`polygon_area_value`	`integer`	`point_set`	`formula_evaluation`	source
`task_geometry__graph_paper__polygon_convexity_count`	`polygon_convexity_count`	`integer`	`bbox_set`	`counting`	source
`task_geometry__graph_paper__polygon_perimeter_value`	`polygon_perimeter_value`	`integer`	`point_set`	`formula_evaluation`	source
`task_geometry__graph_paper__quadrilateral_type_count`	`quadrilateral_type_count`	`integer`	`bbox_set`	`filtering`, `counting`	source
`task_geometry__graph_paper__right_angle_vertex_count`	`right_angle_vertex_count`	`integer`	`point_set`	`counting`, `formula_evaluation`	source
`task_geometry__graph_paper__shape_type_count`	`shape_type_count`	`integer`	`bbox_set`	`filtering`, `counting`	source
`task_geometry__graph_paper__triangle_type_count`	`triangle_type_count`	`integer`	`bbox_set`	`filtering`, `counting`	source

incircle_tangents¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__incircle_tangents__incircle_radius_from_area_value`	`incircle_radius_from_area_value`	`number`	`point_map`	`formula_evaluation`	source
`task_geometry__incircle_tangents__incircle_tangent_perimeter_value`	`incircle_tangent_perimeter_value`	`integer`	`point_map`	`formula_evaluation`	source

measuring_tools¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__measuring_tools__protractor_angle_value`	`protractor_angle_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__measuring_tools__ruler_length_value`	`ruler_length_value`	`integer`	`segment`	`formula_evaluation`	source

paper_fold¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__paper_fold__folded_segment_length_value`	`folded_segment_length_value`	`integer`	`segment`	`transformation`, `formula_evaluation`	source
`task_geometry__paper_fold__paper_fold_angle_value`	`paper_fold_angle_value`	`number`	`bbox_map`	`transformation`, `formula_evaluation`	source

polar_graph_paper¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__polar_graph_paper__coordinate_difference_value`	`coordinate_difference_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__polar_graph_paper__coordinate_value_point_count`	`coordinate_value_point_count`	`integer`	`point_set`	`filtering`, `counting`, `comparison`, `formula_evaluation`	source
`task_geometry__polar_graph_paper__readout_value`	`readout_value`	`integer`	`point`	`direct_retrieval`	source

polygon_equation_diagram¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__polygon_equation_diagram__equal_angle_measure_value`	`equal_angle_measure_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__polygon_equation_diagram__equal_angle_variable_value`	`equal_angle_variable_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__polygon_equation_diagram__equal_side_length_value`	`equal_side_length_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__polygon_equation_diagram__equal_side_variable_value`	`equal_side_variable_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__polygon_equation_diagram__interior_angle_sum_angle_value`	`interior_angle_sum_angle_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__polygon_equation_diagram__interior_angle_sum_variable_value`	`interior_angle_sum_variable_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__polygon_equation_diagram__side_expression_perimeter_value`	`side_expression_perimeter_value`	`integer`	`point_map`	`formula_evaluation`	source

pythagorean_dissection¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__pythagorean_dissection__pythagorean_square_area_value`	`pythagorean_square_area_value`	`integer`	`point_map`	`formula_evaluation`	source

pythagorean_tree¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__pythagorean_tree__missing_square_area_value`	`missing_square_area_value`	`integer`	`bbox`	`formula_evaluation`	source

rectangular_solid¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__rectangular_solid__cube_edge_from_frame_length_value`	`cube_edge_from_frame_length_value`	`integer`	`bbox`	`counting`, `formula_evaluation`	source
`task_geometry__rectangular_solid__cuboid_surface_area_value`	`cuboid_surface_area_value`	`integer`	`bbox`	`formula_evaluation`	source
`task_geometry__rectangular_solid__cuboid_volume_missing_dimension_value`	`cuboid_volume_missing_dimension_value`	`integer`	`segment`	`formula_evaluation`	source
`task_geometry__rectangular_solid__open_box_net_dimension_value`	`open_box_net_dimension_value`	`integer`	`segment`	`formula_evaluation`	source

regular_polygon_decomposition¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__regular_polygon_decomposition__central_angle_value`	`central_angle_value`	`integer`	`point_map`	`counting`, `formula_evaluation`	source
`task_geometry__regular_polygon_decomposition__marked_piece_area_value`	`marked_piece_area_value`	`number`	`point_map`	`filtering`, `counting`, `formula_evaluation`	source
`task_geometry__regular_polygon_decomposition__perimeter_value`	`perimeter_value`	`integer`	`point_map`	`filtering`, `formula_evaluation`	source
`task_geometry__regular_polygon_decomposition__side_length_value`	`side_length_value`	`integer`	`point_map`	`counting`, `formula_evaluation`	source
`task_geometry__regular_polygon_decomposition__wedge_area_from_side_apothem_value`	`wedge_area_from_side_apothem_value`	`number`	`point_map`	`formula_evaluation`	source

sector¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__sector__arc_length_from_sector_area_value`	`arc_length_from_sector_area_value`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__sector__arc_length_from_supplement_angle_value`	`arc_length_from_supplement_angle_value`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__sector__central_angle_from_sector_measure_value`	`central_angle_from_sector_measure_value`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__sector__related_angle_from_sector_measure_value`	`related_angle_from_sector_measure_value`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__sector__sector_area_from_complement_angle_value`	`sector_area_from_complement_angle_value`	`number`	`bbox`	`formula_evaluation`	source

shape_reference¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__shape_reference__congruent_match`	`congruent_match`	`option_letter`	`point_set`	`matching`	source
`task_geometry__shape_reference__reflection_match`	`reflection_match`	`option_letter`	`point_set`	`transformation`, `matching`	source
`task_geometry__shape_reference__rotation_match`	`rotation_match`	`option_letter`	`point_set`	`transformation`, `matching`	source
`task_geometry__shape_reference__similar_match`	`similar_match`	`option_letter`	`point_set`	`matching`	source
`task_geometry__shape_reference__translation_match`	`translation_match`	`option_letter`	`point_set`	`transformation`, `matching`	source

similar_figure_measure_transfer¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__similar_figure_measure_transfer__area_scale_side_length_value`	`area_scale_side_length_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__similar_figure_measure_transfer__corresponding_side_value`	`corresponding_side_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__similar_figure_measure_transfer__variable_value`	`variable_value`	`number`	`point_map`	`formula_evaluation`	source

solid_cross_section¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__solid_cross_section__cone_parallel_slice_area`	`cone_parallel_slice_area`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__solid_cross_section__square_pyramid_parallel_slice_area`	`square_pyramid_parallel_slice_area`	`number`	`bbox`	`formula_evaluation`	source

solid_formula¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__solid_formula__cylinder_cone_height_from_volume_radius`	`cylinder_cone_height_from_volume_radius`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__solid_formula__cylinder_cone_radius_from_volume_heights`	`cylinder_cone_radius_from_volume_heights`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__solid_formula__house_prism_length_from_volume`	`house_prism_length_from_volume`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__solid_formula__prism_pyramid_height_from_volume`	`prism_pyramid_height_from_volume`	`number`	`bbox`	`formula_evaluation`	source

solid_revolution¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__solid_revolution__revolution_cone_volume_value`	`revolution_cone_volume_value`	`number`	`bbox_map`	`transformation`, `formula_evaluation`	source
`task_geometry__solid_revolution__revolution_cylinder_volume_from_diagonal_value`	`revolution_cylinder_volume_from_diagonal_value`	`number`	`bbox_map`	`transformation`, `formula_evaluation`	source
`task_geometry__solid_revolution__revolution_cylinder_volume_value`	`revolution_cylinder_volume_value`	`number`	`bbox_map`	`transformation`, `formula_evaluation`	source
`task_geometry__solid_revolution__revolution_double_cone_volume_value`	`revolution_double_cone_volume_value`	`number`	`bbox_map`	`transformation`, `formula_evaluation`	source
`task_geometry__solid_revolution__revolution_frustum_volume_value`	`revolution_frustum_volume_value`	`number`	`bbox_map`	`transformation`, `formula_evaluation`	source

special_quadrilateral¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__special_quadrilateral__algebraic_angle_value`	`algebraic_angle_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__special_quadrilateral__segment_length_value`	`segment_length_value`	`integer`	`point_map`	`formula_evaluation`	source

survey_traverse¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__survey_traverse__outgoing_bearing_from_turn_value`	`outgoing_bearing_from_turn_value`	`integer`	`bbox_map`	`spatial_relations`, `formula_evaluation`	source
`task_geometry__survey_traverse__station_elevation_value`	`station_elevation_value`	`integer`	`bbox_map`	`formula_evaluation`	source
`task_geometry__survey_traverse__traverse_area_value`	`traverse_area_value`	`integer`	`bbox_map`	`formula_evaluation`	source

tangent_packing¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__tangent_packing__circle_in_square_gap_area`	`circle_in_square_gap_area`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__tangent_packing__circle_in_square_radius_from_gap_area`	`circle_in_square_radius_from_gap_area`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__tangent_packing__square_in_circle_gap_area`	`square_in_circle_gap_area`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__tangent_packing__square_in_circle_side_from_gap_area`	`square_in_circle_side_from_gap_area`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__tangent_packing__two_circles_in_rectangle_gap_area`	`two_circles_in_rectangle_gap_area`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__tangent_packing__two_circles_in_rectangle_radius_from_gap_area`	`two_circles_in_rectangle_radius_from_gap_area`	`number`	`bbox`	`formula_evaluation`	source

trapezoid_extension¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__trapezoid_extension__extension_from_parallelogram_area`	`extension_from_parallelogram_area`	`number`	`segment`	`formula_evaluation`	source
`task_geometry__trapezoid_extension__extension_from_parallelogram_perimeter`	`extension_from_parallelogram_perimeter`	`number`	`segment`	`formula_evaluation`	source
`task_geometry__trapezoid_extension__trapezoid_area_from_extension_and_height`	`trapezoid_area_from_extension_and_height`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__trapezoid_extension__trapezoid_area_from_parallelogram_area`	`trapezoid_area_from_parallelogram_area`	`number`	`bbox`	`formula_evaluation`	source
`task_geometry__trapezoid_extension__trapezoid_area_from_parallelogram_perimeter`	`trapezoid_area_from_parallelogram_perimeter`	`number`	`bbox`	`formula_evaluation`	source

triangle_relations¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__triangle_relations__altitude_to_hypotenuse_value`	`altitude_to_hypotenuse_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__triangle_relations__angle_bisector_segment_value`	`angle_bisector_segment_value`	`integer`	`segment`	`formula_evaluation`	source
`task_geometry__triangle_relations__angle_bisector_variable_value`	`angle_bisector_variable_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__triangle_relations__centroid_median_segment_value`	`centroid_median_segment_value`	`integer`	`segment`	`formula_evaluation`	source
`task_geometry__triangle_relations__leg_projection_length_value`	`leg_projection_length_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__triangle_relations__parallel_section_segment_value`	`parallel_section_segment_value`	`integer`	`segment`	`formula_evaluation`	source
`task_geometry__triangle_relations__pythagorean_length_value_chained_rectangle_diagonal_length`	`pythagorean_length_value_chained_rectangle_diagonal_length`	`integer`	`segment`	`formula_evaluation`	source
`task_geometry__triangle_relations__pythagorean_length_value_rectangle_triangle_shared_height_length`	`pythagorean_length_value_rectangle_triangle_shared_height_length`	`integer`	`segment`	`formula_evaluation`	source
`task_geometry__triangle_relations__right_triangle_missing_side_value`	`right_triangle_missing_side_value`	`number`	`segment`	`formula_evaluation`	source
`task_geometry__triangle_relations__similar_triangles_side_length`	`similar_triangles_side_length`	`integer`	`segment`	`formula_evaluation`	source
`task_geometry__triangle_relations__split_triangle_angle_value`	`split_triangle_angle_value`	`integer`	`point_map`	`formula_evaluation`	source
`task_geometry__triangle_relations__split_triangle_trig_side_length_value`	`split_triangle_trig_side_length_value`	`number`	`point_map`	`formula_evaluation`	source

volume_equivalence_conversion¶

Task	Objective	Answer	Annotation	Reasoning	Code
`task_geometry__volume_equivalence_conversion__equal_volume_option_label`	`equal_volume_option_label`	`option_letter`	`bbox`	`formula_evaluation`, `matching`	source
`task_geometry__volume_equivalence_conversion__missing_dimension_value`	`missing_dimension_value`	`integer`	`bbox_map`	`formula_evaluation`	source