Q: If one pair of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram?

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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.

Only a parallelogram. You can technically say a square does as well, although all sides are congruent in a square (compared to the parallelogram with two sets of opposite sides congruent).

A rhombus is a quadrilateral that has four congruent sides. It makes a parallelogram. Not all parallelograms have 4 congruent sides. Some have two pairs of opposite sides congruent.

A parallelogram.

It is a rhombus or a parallelogram

Related questions

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

A quadrilateral with both pairs of opposite sides congruent is 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.

Then, the opposite sides are congruent.

The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.

No. The congruent sides need not be parallel.

always

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

Parallel

sometimes

No, it is not.

Yes that is correct.