# 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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