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
Attached Figure / Diagram
A
|PO|=|RO|
B
PQR is an equilateral triangle
C
PQRX is a parallelogram
D
There are two lines of symmetry
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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.
Source: Myschool Past Questions Archive (Record #26716)