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Online Geometry Problem 702: Triangle, Circumcircle, Parallel, Concyclic Points. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows a triangle ABC with DE parallel to AC. F is a point on BC and the circumcircle of triangle DEF intersects AB at G. Prove that points A, G, F, and C are concyclic (lie on a same circle).

Triangle, Circumcircle, Parallel, Concyclic points

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