On the diagonal AC of the parallelogram ABCD, equal segments of AK and CM, which have no common points

On the diagonal AC of the parallelogram ABCD, equal segments of AK and CM, which have no common points, were laid off. Prove that quadrilateral BKMD is a parallelogram

Let the diagonals of the parallelogram ABCD intersect at the point O. Then the diagonals BD and MK of the quadrangle BKMD are halved by the point O. Therefore, BKMD is a parallelogram.

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