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Geometry Problem 951: Intersecting Circles, Chord, Diameter, Parallel, Cyclic Quadrilateral, Concyclic Points. Level: School, College, Mathematics Education

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The figure below shows circles O and Q intersecting at A and B. Chord CA is tangent to circle Q at A, chord DA is tangent to circle O at A. Diameter EF is parallel to AC and diameter GH is parallel to AD. Prove that points E, F, H, and G are concyclic.

 

Geometry Problem 951: 1: Intersecting Circles, Chord, Diameter, Parallel, Cyclic Quadrilateral, Concyclic Points

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art GalleryArt | 951-960 | Circle | Intersecting Circles | Circle Tangent Line | Diameter | Parallel lines | Cyclic Quadrilateral | Concyclic Points | by Antonio Gutierrez

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