because

AB = CD

AM = CP

AM + BM = AB

DP + CP = CD

So the remaining BM= DP

Similarly, the remaining AQ = CN.

Triangle QAM Triangle PCN is congruent triangles.

QN = Prime Minister

Triangle QDP Triangle NBM is congruent triangles.

MN = PQ

Two groups of opposite sides are equal, and the quadrilateral MNPQ is a parallelogram.