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Q: What is a quadrilateral with both pairs of opposite sides parallel and congruent?

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

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

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.

Yes

Related questions

parallelogram.

No, it doesn't have to be. A quadrilateral can definitely be a parallelogram only if: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are congruent. - One pair of opposite sides are both congruent and parallel. - Both pairs of opposite angles are congruent. - The diagonals bisect each other.

That's a parallelogram.

Parallelogram

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

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

A quadrilateral with congruent pairs of adjacent sides and no parallel sides is a kite.

There are 5 ways to prove a Quadrilateral is a Parallelogram. -Prove both pairs of opposite sides congruent -Prove both pairs of opposite sides parallel -Prove one pair of opposite sides both congruent and parallel -Prove both pairs of opposite angles are congruent -Prove that the diagonals bisect each other

* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * both pairs of opposite angles are congruent * one pair of opposite sides are parallel and congruent * both diagonals bisect each other * all consecutive angle pairs are supplementary

No, all that is required is that it has four straight sides.

A parallelogram or a rhombus

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