Q9 of 95 Page 6

In the given figure, if PQ || RS, prove that ΔPOQ ~ Δ SOR.

Given: PQ || RS

To Prove: POQ ~SOR


Let us takePOQ andSOR


∠OPQ = ∠OSR (as PQ || RS, Alternate angles)


∠POQ = ∠ROS (vertically opposite angles)


∠OQP = ∠ORS (as PQ || RS, Alternate angles)


∴ POQ ~SOR (by AAA similarity criterion)


Hence Proved


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