Geometry Problem 1453: Two Semicircles, Cyclic Quadrilateral, Concyclic Points

Semicircles of diameters AB and CD intersect at E (see the figure below). FG is a line through E. BF and CG meet at H, BF and CE meet at M, and CG and BE meet at N. Prove that ENHM is a cyclic quadrilateral.

See solution below

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Poster of Problem 1453 using iPad Apps

Geometric Art using iPad or Mobile Apps

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.

A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.