LMN LMN\,LMN is a triangle. NRQP NRQP\,NRQP is a parallelogram such that P P\,P is the midpoint of LMLMLM, Q Q\,Q is the midpoint of LNLNLN, and R R\,R is the midpoint of MNMNMN.
Prove that triangle LPQ LPQ\,LPQ is congruent to triangle PMRPMRPMR.