Question
In Figure, if PQ || RS, prove that $\triangle POQ \sim \triangle SOR$.
✓
Answer
From the given figure we have,
PQ || RS (Given)
So, $\angle$P = $\angle$S (Alternate angles)
and $\angle$Q = $\angle$R (Alternate angles)
Also, $\angle$POQ = $\angle$SOR (Vertically opposite angles)
Therefore, $\triangle POQ \sim \triangle SOR$ (AAA similarity criterion)
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