MathDB
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Source: Iran 2004

August 26, 2005
geometryparallelogramrectanglegeometric transformationhomothetycircumcirclecyclic quadrilateral

Problem Statement

Let ABCABC be a triangle . Let point XX be in the triangle and AXAX intersects BCBC in YY . Draw the perpendiculars YP,YQ,YR,YSYP,YQ,YR,YS to lines CA,CX,BX,BACA,CX,BX,BA respectively. Find the necessary and sufficient condition for XX such that PQRSPQRS be cyclic .
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