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Math Geometry Problem 1017: Square, Center, Midpoints, Circle, Concyclic Points, Cyclic Quadrilateral

The figure below shows a square ABCD of center O. If E, F, G, and H are the midpoints of BC, OB, OA, and AD, respectively, prove that points C,E,F,G,H,D are concyclic.
 

Math Geometry Problem 1017. Square, Center, Midpoints, Circle, Concyclic Points, Cyclic Quadrilateral
 
 

See also:
GeoGebra of problem 1017
 


 

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art GalleryArt | 1011-1020 | Square | Midpoint | Circle | Cyclic Quadrilateral | Concyclic Points | Email | Solution / comment | by Antonio Gutierrez
Last updated: Sep 19, 2014