Answer in Brief

PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?

PQ = 7 cm, QR = 7 cm, RS = 8 cm, SP = 8 cm

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#### Solution

We have a quadrilateral named *PQRS*, with diagonals PR and QS intersecting at *O*.

*PQ* = 7 cm, *QR* = 7 cm, *RS* = 8 cm, *SP* = 8 cm

Clearly, PQ ≠ RS

And QR ≠SP

Thus we have PQRS a quadrilateral with opposite sides are not equal

Therefore,

PQRS is not a parallelogram.

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