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Four Concurrent Lines in a Cyclic Quadrilateral


	A cyclic quadrilateral has all four of its vertices on a circle. Through the midpoint of each side of a cyclic quadrilateral draw a line perpendicular to the opposite side or its extension. The four resulting lines are concurrent. Drag the purple points to change the figure.


	Contributed by: Jay Warendorff After work by: Alexander Bogomolny

A. Bogomolny, "Four Concurrent Lines in a Cyclic Quadrilateral," Interactive Mathematics Miscellany and Puzzles.

Concurrent (Wolfram MathWorld)

Cyclic Quadrilateral (Wolfram MathWorld)

"Four Concurrent Lines in a Cyclic Quadrilateral" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FourConcurrentLinesInACyclicQuadrilateral/

Contributed by: Jay Warendorff

After work by: Alexander Bogomolny

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