Question

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

Answer 1

In ∆QMO and ∆RPN

∠MQO = ∠NRP = 90°

∠RPN = ∠QOM ...(OP || MN)

∴ ∆QMO ~ ∆RPN  ...(By AA similarity)