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Pqrs Is a Quadrilateral, Pr And Qs Intersect Each Other At O. in Which of the Following Case, Pqrs Is a Parallelogram? - Mathematics

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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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 13 Quadrilaterals
Q 3.3 | Page 71
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