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.