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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



 

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Last updated: Apr 4, 2015, by Antonio Gutierrez