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Circumcenter of triangle on diagonal

Source: Sharygin Geometry Olympiad Correspondence Round 2017 P-8 (Grade-8-9)

May 1, 2017
geometrycircumcircle

Problem Statement

Let ADAD be the base of trapezoid ABCDABCD. It is known that the circumcenter of triangle ABCABC lies on BDBD. Prove that the circumcenter of triangle ABDABD lies on ACAC. Proposed by Ye.Bakayev
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