Is a quadrilateral a parallelogram if opposite sides are parallel?

Is a quadrilateral a parallelogram if opposite sides are parallel?

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.

When the opposite sides of a quadrilateral are parallel to each other then it is called?

Proof when the opposite sides of quadrilateral are parallel to each other then it is called a parallelogram.

What if opposite sides are parallel?

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Definition 1: A parallelogram is a four sided figure where the opposite sides are parallel. Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram.

What is a quadrilateral with both pairs of opposite sides parallel and equal in length?

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 a quadrilateral is then the quadrilateral is called a trapezium *?

A quadrilateral in which one pair of opposite sides are parallel is called a trapezium. In the given trapezium sides ‘a’ and ‘b’ are parallel.

Are all sides parallel in a parallelogram?

The Parallelogram 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!

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What quadrilateral is not a parallelogram?

trapezium
A trapezium is the quadrilateral that is not a parallelogram as its two sides are not parallel.

When exactly pair of opposite sides are parallel it is a 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.