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Geometry Problem 737: Cyclic Quadrilateral, Circumscribed Circle, Diameter, Tangent, Perpendicular. Art: Hyperbolic Kaleidoscope

The figure shows a cyclic quadrilateral ABCD where AD is the diameter of the circumscribed circle. AB and DC extended meet at E. Tangents at B and C meet at F. Prove that EF is perpendicular to AD.  This entry contributed by Ajit Athle.

 Cyclic quadrilateral, diameter, tangent, perpendicular

Geometric Art: Hyperbolic Kaleidoscope of problem 737

Cyclic quadrilateral, Hyperbolic Kaleidoscope

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