Online Geometry Problems

Online Geometry Problem 799: Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter. Level: High School, SAT Prep, College, Mathematics Education

The figure below shows a parallelogram ABCD, AE is the bisector of angle BAD. If AE and DC meet at F, prove that the circumcenter Q of triangle CEF lies on the circumcircle of triangle BCD.
 
 

Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter
 


 

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