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

True

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False

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Solution

The correct option is B False
For a quadrilateral to be a parallelogram, the opposite pairs of the sides must be parallel and equal.
If only one pair is equal, then it may be an isosceles trapezium.

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Similar questions

A quadrilateral is a parallelogram, if pair of opposite sides are equal and __.

Which of the following statements are true (T) and which are false (F) ?

(i) In a parallelogram, the diagonals are equal.

(ii) In a parallelogram, the diagonals bisect each other.

(iii) In a parallelogram, the diagonals bisect each other at right angles.

(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

(v) If all the angles of a quadrilateral are equal, it is a parallelogram.

(vi) If three sides of a quadrilateral are equal, it is a parallelogram.

(vii) If three angles of a quadrilateral are equal, it is a parallelogram

(viii) If all the sides of a quadrilateral are equal it is a parallelogram.

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