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Math: Geometry Problem 1002: Triangle, Circle, Circumcircle, Cevian, Parallel Lines, Cyclic Quadrilateral, Concyclic Points. Level: School, College.

The figure below shows a triangle ABC with D and E on AC. EF is parallel to BC (F on circumcircle of triangle ABD) and EG is parallel to AB (G on circumcircle of triangle BCD). Prove that points D, E, G, and F are concyclic.
 

Geometry Problem 1002: Triangle, Circumcircle, Cevian, Parallel Lines, Cyclic Quadrilateral, Concyclic Points

 


 

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery Art | 1001-1010 | Triangle | Circle | Circumcircle | Parallel lines | Cyclic Quadrilateral | Concyclic Points | by Antonio Gutierrez

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Last updated: Sep 19, 2014