Question

In the figure , if PQ||RS, prove that ∆POQ ~ ∆SOR.

Answer 1

Answer:

Given:-

PQ∥RS

To prove:- △POQ∼△SOR

Proof:-

In △POQ and △SOR

∠POQ=∠SOR[∵Vertically opposite angles]

∠P=∠S[∵As PQ∥RS, Alternate angles]

∠Q=∠R[∵As PQ∥RS, Alternate angles]

Using AAA similarity function criteria,

△POQ∼△SOR

Hence proved.