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parallelogram in space, same ratio

Source: Germany 1965 p3

February 21, 2020
geometryparallelogramratio3D geometry

Problem Statement

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''?
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