task_geometry__incircle_tangents__incircle_tangent_perimeter_value

Contract

1. Domain: geometry
2. Scene id: incircle_tangents
3. Query id: single
4. Internal query id: triangle_perimeter_from_tangent_segments
5. Answer schema: integer
6. Annotation schema: point_map with keys A, B, C, D, E, F

Program Contract

• perimeter(incircle_tangent_triangle, tangent_equalities={AD=AF,BD=BE,CE=CF}); scene=incircle_tangents; scope=incircle_tangent_perimeter_value

Reasoning Operations

Families: formula_evaluation

Prompt Bundle

• Prompt text is loaded from geometry_tangent_polygon_incircle_v0.
• Prompt modes: answer_only and answer_and_annotation.

Annotation

Prompt-facing annotation uses pixel-space keyed points for the triangle vertices and tangent contact points needed to read the tangent-segment construction. Equality of each tangent pair is marked visually by matching tick marks; formula metadata, case ids, and unrendered measurements remain private verifier metadata.

Determinism

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

Source

• Config: src/trace_tasks/resources/configs/domains/geometry/incircle_tangents.yaml
• Task module: src/trace_tasks/tasks/geometry/incircle_tangents/incircle_tangent_perimeter_value.py