Consider quadrilateral WXYZ.
Quadrilateral W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at a point in the middle. Sides W X and Z Y are congruent. The diagonal cuts W Y into 2 equal parts.
Based on the information given, is the quadrilateral a parallelogram? Explain.
The figure is a parallelogram because there are two pairs of congruent sides.
The figure is a parallelogram because a diagonal is bisected.
The figure is not necessarily a parallelogram because the diagonals are not congruent.
The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.