Problem 400. Triangle, Angle bisector, Circumcircle, Perpendicular,
Congruence. Level: High School, College, SAT Prep.
The figure shows a triangle ABC with
the circumcircle O. CD is the angle bisector of angle C. Line
OGE is perpendicular to AC and line HOF is perpendicular to BC.
Prove that CG and DH are congruent.

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