In the figure shown, \(PQ\) and \(RS\) are parallel. Show that \(\triangle POQ\) and \(\triangle SOR\) are similar triangles.

Given: \(PQ||RS\).
\(\angle P\ =\) (Alternate angles)
\(\angle Q\ =\) (Alternate angles)
\(\angle POQ\ =\) (Vertically opposite angles)
By similarity criterion
\(\triangle POQ \sim \triangle SOR \)
Hence proved.