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DE-MO 1965 Problem 3

    Two parallelograms ABCDABCD and A′B′C′D′A'B'C'D' are given in space. Points A′′,B′′,C′′,D′′A'',B'',C'',D'' divide the segments AA′,BB′,CC′,DD′AA',BB',CC',DD' in the same ratio. What can be said about the quadrilateral A′′B′′C′′D′′A''B''C''D'' ?

    Dataset text AI-MO AoPS. Quoted with source.

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