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Regional Olympiad - FBH 2015 Grade 9 Problem 3

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2015

September 23, 2018
geometryparallelogram

Problem Statement

In parallelogram ABCDABCD holds AB=BDAB=BD. Let KK be a point on ABAB, different from AA, such that KD=ADKD=AD. Let MM be a point symmetric to CC with respect to KK, and NN be a point symmetric to point BB with respect to AA. Prove that DM=DNDM=DN
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