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Problem 496. Triangle, Two Squares, 90 Degrees, Concurrency.
Level: High School, College, SAT Prep.

The figure shows a triangle ABC with the squares ABDE and BCFG. AG and CD meet at P. Prove that: (1) CD and AG are congruent and perpendicular. (2) CD, AG, and EF are concurrent at P. (3) EF is the angle bisector of angle GPC.
 

Triangle, Two Squares, 90 degrees
 

 

 

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