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(044) 1

Part of 1983 Tournament Of Towns

Problems(1)

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

Source:

8/18/2019
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)
geometrysquare