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Q: What quadrilateral has two pairs of opposite sides that are congruent and parallel?

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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 rhombus.

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

always

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

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

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