MathDB
BMT 2014 Spring - Geometry P2

Source:

December 29, 2021
geometry

Problem Statement

Let ABCABC be a fixed scalene triangle. Suppose that X,YX, Y are variable points on segments ABAB, ACAC, respectively such that BX=CYBX = CY . Prove that the circumcircle of △AXY\vartriangle AXY passes through a fixed point other than AA.
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