Answer :

The given statement is false. Because if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral exists as a parallelogram. If one pair of opposite sides of a quadrilateral exists parallel and congruent, then the quadrilateral exists as a parallelogram.

What is a parallelogram?

If a quadrilateral exists as a parallelogram, then its opposite sides exist congruent. If a quadrilateral exists in a parallelogram, then its opposite angles exist congruent.

If a quadrilateral exists as a parallelogram, then its diagonals bisect per other.

If both pairs of opposite sides of a quadrilateral exist congruent, then the quadrilateral exists as a parallelogram.

If one pair of opposite sides of a quadrilateral exists parallel and congruent, then the quadrilateral exists as a parallelogram.

If both pairs of opposite angles of a quadrilateral exist congruent, then the quadrilateral exists as a parallelogram.

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

Learn more about to quadrilateral visit here:

https://brainly.com/question/8181188

#SPJ4