Geometry Problems, Online Education

Problem 547: Triangle, Transversal, Four Circumcircles, Concurrency. Level: High School, SAT Prep, College

The figure shows a triangle ABC with a transversal DEF (F on the extension of AC). Prove that the circumcircles of triangles ABC, BDE, ECF, and ADF meet at a point G.
 

Complete quadrilateral, Circumcircles

See also: Sketch of problem 547

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