task_geometry__trapezoid_extension__trapezoid_area_from_parallelogram_perimeter

Contract

1. Domain: geometry
2. Scene id: trapezoid_extension
3. Task id: task_geometry__trapezoid_extension__trapezoid_area_from_parallelogram_perimeter
4. Supported query_id values: single
5. Answer schema: number
6. Answer precision: one_decimal
7. Annotation schema: bbox
8. Scalar annotation checked: true

Program Contract

• solve_formula(visible_trapezoid_extension_measurements, unknown_role=area_measure, formula_schema=trapezoid_area_from_parallelogram_perimeter); scene=trapezoid_extension; scope=trapezoid_area_from_parallelogram_perimeter

Reasoning Operations

Families: formula_evaluation

Prompt Bundle

• Prompt text is loaded from src/trace_tasks/resources/prompts/geometry/trapezoid_extension/geometry_trapezoid_extension_v1.json.
• Prompt modes: answer_only and answer_and_annotation.

Annotation

Prompt-facing annotation is one pixel-space bounding box [x0,y0,x1,y1] around the original trapezoid ABCD. Numeric labels and construction metadata remain private verifier metadata.

Formula

The completed parallelogram has perimeter P = 2(DC + AD), so DC = P / 2 - AD. The original trapezoid area is then h * (AB + DC) / 2.

Determinism

Generation is deterministic for a fixed seed, params, config, and prompt bundle version.

Source

• Config: src/trace_tasks/resources/configs/domains/geometry/trapezoid_extension.yaml
• Prompt bundle: src/trace_tasks/resources/prompts/geometry/trapezoid_extension/geometry_trapezoid_extension_v1.json
• Task module: src/trace_tasks/tasks/geometry/trapezoid_extension/trapezoid_area_from_parallelogram_perimeter.py