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

Q: What quadrilateral has both pairs of opposite sides congruent?

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

always

Diamond

That's a rhombus.

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.

Related questions

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

always

Diamond

Trapezoid.

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

A kite

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

parallelogram.

parallelogram

Parallelogram

Kite: a quadrilateral that has two pairs of consecutive congruent sides, but in which opposite sides are not congruent.kite - a quadrilateral with two distinct pairs of adjacent sides that are congruent.