In the figure shown, \(PQ\) and \(RS\) are parallel. Show that \(\triangle POQ\) and \(\triangle SOR\) are similar triangles.
 
YCIND_240214_6037_a_26.png
 
Given: \(PQ||RS\).
 
\(\angle P\ =\) ∠i (Alternate angles)
 
\(\angle Q\ =\)∠i (Alternate angles)
 
\(\angle POQ\ =\)∠i (Vertically opposite angles) 
 
By similarity criterion 
 
\(\triangle POQ \sim \triangle SOR \)
 
Hence proved.