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# State true or false.In any quadrilateral, if a pair of opposite sides is equal, then it is a parallelogram.A. TRUEB. FALSE

Last updated date: 18th Jun 2024
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Hint: We use the property of parallelogram that in a parallelogram opposite sides are equal and parallel to each other and check if the statement satisfies the property.

We know a parallelogram is a quadrilateral having four sides and four angles. The pair of opposite sides of a parallelogram are parallel and equal to each other, since we have four sides therefore we have two pairs of equal and parallel sides in a parallelogram. We can draw a parallelogram ABCD with sides $AB,BC,CD,DA$ and angles $\angle A,\angle B,\angle C,\angle D$
Now we can write the set of parallel lines in the parallelogram as $AB\parallel CD,BC\parallel DA$.
Also, pairs of equal lines in parallelogram are$AB = CD,{\text{BC = }}DA$