Overview
USAMO geometry emphasizes constructions and clean arguments. Inversion and homography can simplify tough configurations.
Key Ideas
- Inversion maps lines and circles to lines and circles.
- Projective transformations preserve cross ratios and collinearity.
- Auxiliary points often reveal similarity or power of a point.
Practice Problems
| Status | Source | Problem Name | Difficulty | Tags | ||
|---|---|---|---|---|---|---|
| USAMO | Insane | Show TagsGeometry, Inversion | ||||
| USAMO | Very Hard | Show TagsGeometry | ||||
Module Progress:
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