tmua 2020 Q7

tmua · Uk · paper2 1 marks Proof
Consider the following conditions on a parallelogram $P Q R S$, labelled anticlockwise:
I length of $P Q =$ length of $Q R$ II The diagonal $P R$ intersects the diagonal $Q S$ at right angles III $\angle P Q R = \angle Q R S$ Which of these conditions is/are individually sufficient for the parallelogram $P Q R S$ to be a square?
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Consider the following conditions on a parallelogram $P Q R S$, labelled anticlockwise:

I length of $P Q =$ length of $Q R$\\
II The diagonal $P R$ intersects the diagonal $Q S$ at right angles\\
III $\angle P Q R = \angle Q R S$\\
Which of these conditions is/are individually sufficient for the parallelogram $P Q R S$ to be a square?