Question

If figure OPRQ is a square and ∠MLN = 90°. Prove that ∆LOP ~ ∆RPN

Answer 1

In ∆LOP and ∆RPN

∠OLP = ∠PRN = 90°

∠LPO = ∠PNR ...(OP || MN)

∴ ∆LOP ~ ∆RPN ...(By AA similarity)