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Line through vertices of two squares tangent to circumcircle

Source: XI Olimpíada Matemática del Cono Sur (2000)

July 26, 2011
geometrycircumcircleanalytic geometrygraphing linesslopegeometry unsolved

Problem Statement

In square ABCDABCD (labeled clockwise), let PP be any point on BCBC and construct square APRSAPRS (labeled clockwise). Prove that line CRCR is tangent to the circumcircle of triangle ABCABC.
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