MathDB
#in #, is area half?, use only compass (2010 From Tasks to Tasks, p9 Ukr )

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May 2, 2021
geometryparallelogram

Problem Statement

On the sides AB,BC,CDAB, BC, CD and DADA of the parallelogram ABCDABCD marked the points M,N,KM, N, K and FF. respectively. Is it possible to determine, using only compass, whether the area of ​​the quadrilateral MNKFMNKF is equal to half the area of ​​the parallelogram ABCDABCD?