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France TST 2000 D1Q1

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March 2, 2013
geometryrectanglecircumcirclegeometry unsolved

Problem Statement

Points P,Q,R,SP,Q,R,S lie on a circle and ∠PSR\angle PSR is right. H,KH,K are the projections of QQ on lines PR,PSPR,PS. Prove that HKHK bisects segment QS QS.
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