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TOT 044 1983 Autumn J1 centroids form a square, starting w point in a square

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August 18, 2019
geometrysquare

Problem Statement

Inside square ABCDABCD consider a point MM. Prove that the points of intersection of the medians of triangles ABM,BCM,CDMABM, BCM, CDM and DAMDAM form a square.
(V Prasolov)
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