Geometry Problem 1254

Elements: Circle, Arc, Chord, Midpoint, Cyclic Quadrilateral, Concyclic Points

In the figure below, C, D, and F are the midpoints of arc AB, arc BE and chord AB of a circle. AD meets CE at H and CF extended meets AD at G. Prove that BCHG is a cyclic quadrilateral.
This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.

 

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