Online Geometry Problems

Online Geometry Problem 798: Parallelogram, Secant Line, Tangent Circles, Circumcircles, Triangle. Level: High School, SAT Prep, College, Mathematics Education

The figure below shows a parallelogram ABCD, a secant line meets DA extended, AB, BC, and DC extended at E, F, G, and H, respectively. Prove that the circumcircles of triangles EDH and GCH are tangent at H.

Parallelogram, Secant Line, Tangent Circles, Circumcircle
 


 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 791-800 | Parallelogram | TrianglesSecant line | Circumcircle | Circle | Tangent Circles | Parallel | Email | Solution / comment | By Antonio Gutierrez