Question

In the given figure , AB||PQ and BC||QR. Also AR=CP . Prove that AB=PQ and BC=RQ

Answer 1

Step-by-step explanation:

Given: AB||PQ, BC||QR

If AB||PQ then, AP will become a transversal line.

.'. angle BAC = angle RPQ (interior opposite angles)

Same way, If BC||RQ, then CR will become a transversal line.

.'. angle BCA = angle PRQ (interior opposite angles)

When AB||PQ, BC||RQ, then AC = RP

.'. By ASA congruence conditon, it is congruent

.'. BC = RQ