A quadrilateral is a parallelogram, if

Opposite sides are equal.

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Opposite angles are equal.

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Diagonals bisect each other.

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A pair of opposite sides are equal and parallel.

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Solution

The correct options are
A Opposite sides are equal.
B Opposite angles are equal.
C Diagonals bisect each other.
D A pair of opposite sides are equal and parallel.

A quadrilateral is a parallelogram, if
the opposite sides are equal and parallel
the opposite angles are of equal measure,
the diagonals bisect each other.

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Similar questions

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.

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

Which of the following is not a necessary condition for a quadrilateral $A B C D$ to be a parallelogram:

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