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Trapezoid and bisection

Source: Oral Moscow geometry olympiad 2023 8-9.1

April 20, 2023
geometry

Problem Statement

In trapezoid ABCDABCD with bases AD,BCAD, BC, AD=2BCAD = 2BC and MM is midpoint of ABAB. Prove that line BDBD passes through the midpoint of segment CMCM.
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