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![Geometry Problems, Online Education](../../problem/h_geometry_problem_910.jpg)
Geometry Problem
1107: Triangle, Circumcircle, Circle, Radius, Tangent,
Chord, Congruence. Level: High School, SAT Prep, College
Geometry
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In a triangle ABC (see the figure below)
CD is tangent to circumcircle O at C (D on AB extended) and P is
a point on the circle of center D and radius DC. AP, BP, and CP
(extended if necessary) intersect the circumcircle O at A1, B1,
and C1, respectively. Prove that C1A1 = C1B1.
![Geometry Problem 1107, Triangle, Circumcircle, Circle, Radius, Tangent, Chord, Congruence](p1107-triangle-circumcircle-circle-congruence-math-tutor.gif)
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