Prove that the opposite side of a parallelogram are equal – InterviewSolution

1.	Prove that the opposite side of a parallelogram are equal
Answer» ABCD is a parallelogram. To prove that AB = CD and AD = BC. Join the diagonal AC. In the triangles ABC and CDA:angleBAC= angleDCA(alternate angles, AB \|\| DC) angleBCA= angleDAC (alternate angles, AD \|\| BC) AC= CA (common)so triangleABC ≡ triangleCDA (AAS)Hence AB = CD and BC = AD (matching sides of congruent triangles)

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