The figure shows a quadrilateral PQRS having equal sides and opposite sides parallel. The diagonals...

WAEC 2005

The figure shows a quadrilateral PQRS having equal sides and opposite sides parallel. The diagonals PR and QS intersect perpendicularly at O, Which of the following statements cannot be correct

A. |PO|=|RO|
B. PQR is an equilateral triangle
C. PQRX is a parallelogram
D. There are two lines of symmetry

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Correct Answer: Option B

Explanation

Since PQRS is a quadrilateral with equal sides, PQR cannot be an equilateral triangle unless R coincides with S, which is not the case in a quadrilateral.

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