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CM = CN if BM = DN for cyclic ABCD

Source: TOT 370 1993 Spring O S2 - Tournament of Towns

June 10, 2024
geometrycyclic quadrilateralequal segments

Problem Statement

Quadrilateral ABCDABCD is inscribed in a circle, MM is the intersection point of the lines ABAB and CDCD and NN is the intersection point of the lines BCBC and ADAD. It is known that BM=DNBM = DN. Prove that CM=CNCM = CN.
(F Nazarov)
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