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Geometry Problem 1134: Tangent Circles, Tangent Line, Triangle, Circumcircle, Circumcenter. Level: High School, SAT Prep, Honors Geometry, College, Math Education

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Circles O1 and O2 are tangent at A (figure below). BC is tangent to circle O1 at C. BD is tangent to circle O2 at D. Prove that the circumcenter O3 of the triangle ACD lies on the circumcircle O4 of triangle BCD.

 

Infographic Geometry problem 1134 Tangent Circles, Tangent Line, Circumcircle, Circumcenter

See also:
Circle
Tangent Circles
Triangle
Circumcircle, circumcenter
Tangent Line
 Solution


 

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Last updated: Jul 14, 2015 by Antonio Gutierrez.