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Q: If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram?

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A quadrilateral with both pairs of opposite sides congruent is a parallelogram.

A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.

Yes

Theorem A: A quadrilateral is a parallelogram if its opposite sides are congruent. Theorem B: A quadrilateral is a parallelogram if a pair of opposite sides is parallel and congruent. Theorem C: A quadrilateral is a parallelogram if its diagonals bisect each other. Theorem D: A quadrilateral is a parallelogram if both pairs of opposite angles are congruent.

false; if both pairs

Related questions

False. If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram.

A quadrilateral with both pairs of opposite sides congruent is a parallelogram.

If a quadrilateral has two pairs of opposite congruent sides, then the quadrilateral is a parallelogram.

A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.

If both pairs of opposite angles of a quadrilateral are congruent, then it is a parallelogram.

a parallelogram

Yes

True

For the quadrilateral to be a parallelogram, both pairs of opposite angles must be congruent.

No, you need both pairs of opposite sides to be congruent (i.e. the same size) to be a parallelogram.

Theorem A: A quadrilateral is a parallelogram if its opposite sides are congruent. Theorem B: A quadrilateral is a parallelogram if a pair of opposite sides is parallel and congruent. Theorem C: A quadrilateral is a parallelogram if its diagonals bisect each other. Theorem D: A quadrilateral is a parallelogram if both pairs of opposite angles are congruent.

parallelogram.

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