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If figure \(OPRQ\) is a square and \(\angle MLN = 90^{\circ}\). Prove that:
 
(i) \(\triangle LOQ \sim \triangle QMO\)
 
(ii) \(\triangle LOP \sim \triangle RPN\)
 
(iii) \(\triangle QMO \sim \triangle RPN\)
 
(iv) \(QR^2 = MQ \times RN\)
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Important!
This is a creative task. Your teacher will check and evaluate the points for the same.