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TOT 1999 Spring AJ2 tangent to 2 circumcircles, parallelogram

Source:

May 11, 2020
geometryparallelogramcircumcircletangent

Problem Statement

Let OO be the intersection point of the diagonals of a parallelogram ABCDABCD . Prove that if the line BCBC is tangent to the circle passing through the points A,BA, B, and OO, then the line CDCD is tangent to the circle passing through the points B,CB, C and OO.
(A Zaslavskiy)
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