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Quadrilateral- feet of the perpendicular

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February 20, 2011

Problem Statement

 ABCD\ ABCD is a quadrilateral. the feet of the perpendicular from  D\ D to  AB,BC\ AB, BC are  P,Q\ P,Q respectively, and the feet of the perpendicular from  B\ B to  AD,CD\ AD,CD are  R,S\ R,S respectively. Show that if ∠PSR=∠SPQ\angle PSR= \angle SPQ, then  PR=QS\ PR=QS.
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