Is quadrilateral a parallelogram if both pairs of opposite sides are parallel?

DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. THEOREM: If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.

Is a quadrilateral is always a parallelogram but a parallelogram is not always a quadrilateral?

Explanation: A Quadrilateral is only a 4 sided figure & has no specific features, whereas a Parallelogram is a 4 sided figure with opposite sides parallel and equal, opposite angles equal and adjacent angles in a linear pair. A Quadrilateral is not a Parallelogram. A Parallelogram is a Quadrilateral.

Which quadrilateral has a pair of opposite sides parallel?

A square has its opposite sides parallel, so, it is a parallelogram.

What is a quadrilateral that is not a parallelogram with one pair of opposite sides parallel and the other pair of opposite sides congruent?

trapezoid
A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.

Are all quadrilaterals parallelograms yes or no?

All parallelograms are quadrilaterals, so if it is a parallelogram, it is also a quadrilateral. The correct answer is that all trapezoids are quadrilaterals.

Which of the following have opposite sides parallel?

A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles “A” are the same, and angles “B” are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!

When only one pair of opposite sides of quadrilateral is parallel then the quadrilateral is called?

A quadrilateral in which one pair of opposite sides are parallel is called a trapezium.