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Geometry Problem 1135: Intersecting Circles, Secant, Parallel Line, 90 Degrees, Similar Triangles. Level: High School, SAT Prep, Honors Geometry, College, Math Education

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Circles O and Q intersect at A and B (figure below) and E is a point on a secant CAD. EG and EF are parallel to DB and CB, respectively. Angles BGJ and BFH are equal to 90 degrees. Prove that (1) Triangles EGJ and HFE are similar; (2) angle JEH = 90 degrees.


 

Infographic Geometry problem 1135 Intersecting Circles, Secant, Parallel Line, 90 Degrees, Similar Triangles
 

 

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Last updated: Jul 14, 2015 by Antonio Gutierrez.