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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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