Question

in the given figure px and ry are perpendicular to the diagonals qs of a parallelogram pqrs prove that triangle pqs congruent ryq ,px= ry

Answer 1

In  ΔPXS and ΔRYQ

PS = QR  (opp sides of paralleogram)
angle PXS = angle RYQ = 90 degrees 
angle PSX = angle YQR (alternate interior angles)

By AAS two triangles are congruent.

By CPCT PX = RY