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Question
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 as a quadrilateral with opposite sides not equal
Therefore,
PQRS is not a parallelogram.
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