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HK bisect QS

Source: 1998 HK

January 5, 2012
geometryrectanglecircumcirclegeometry proposed

Problem Statement

In a concyclic quadrilateral PQRSPQRS,∠PSR=π2\angle PSR=\frac{\pi}{2} , H,KH,K are perpendicular foot from QQ to sides PR,RSPR,RS , prove that HKHK bisect segmentSQSQ.
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