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.
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