Geometry, Trigonometry and Vectors Repair Library
Spatial Mathematics can fail because of a missing property, weak similarity reasoning, an angle relationship, a coordinate interpretation or difficulty moving between diagrams and symbols.
- Make the geometry visible before adding more algebra.
- Reconnect similarity and ratio to trigonometric relationships.
- Use coordinates and diagrams to clarify direction and vector meaning.
- Separate diagram-reading errors from calculation errors.
- Verify on a changed figure or orientation.
The detailed internal repair catalogue is private.

