Question

In the figure if $PQ\parallel RS$, prove that $△POQ\sim △SOR$.

Answer 1

Solution:-

Given:-

$PQ\parallel RS$

To prove:- $△POQ\sim △SOR$

Proof:-

In $△POQ$ and $△SOR$

$\angle POQ=\angle SOR[\because \text{Vertically opposite angles}]$

$\angle P=\angle S[\because \text{As}PQ\parallel RS,\text{Alternate angles}]$

$\angle Q=\angle R[\because \text{As}PQ\parallel RS,\text{Alternate angles}]$

Using AAA similarity function criteria,

$△POQ\sim △SOR$

Hence proved.