# What is a quadrilateral with four congruent sides and two pairs of parallel sides?

A rhombus, or a square if there is a 90o angle

### If one side of a quadrilateral is congruent to its opposite side 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.

### How do you describe the angles and sides of each quadrilateral?

quadrilateral--a four-sided figure, any length sides, any angles trapezoid--one pair of parallel sides, any length sides, any angles parallelogram--two pairs of parallel sides, opposite sides congruent, opposite angles congruent rectangle--two pairs of parallel sides, opposite sides congruent, all angles are right angles (90 degrees) rhombus--two pairs of parallel sides, all sides congruent, opposite angles congruent square--two pairs of parallel sides, all sides congruetn, all angles are right angles (90 degrees)

### Are all quadrilaterals parallelograms-?

Answer: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. If a quadrilateral is a parallelogram, the 2 pairs of opposite sides are congruent. If a quadrilateral is a parallelogram, the 2 pairs of opposite angles are congruent. Answer: No. On the other hand, all parallelograms are quadrilaterals.

### What are the proofs that a quadrilateral ia s parallelogram?

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

### Conditions which guarantee that a quadrilateral 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.