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Cono Sur Olympiad 2012

Source: Problem 2

November 3, 2012
geometryrhombuscircumcirclevideosprojective geometrygeometry proposed

Problem Statement

2. In a square ABCDABCD, let PP be a point in the side CDCD, different from CC and DD. In the triangle ABPABP, the altitudes AQAQ and BRBR are drawn, and let SS be the intersection point of lines CQCQ and DRDR. Show that ∠ASB=90\angle ASB=90.
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