Question

Consider quadrilateral WXYZ.

Based on the information given, is the quadrilateral a parallelogram? Explain.


A. The figure is a parallelogram because there are two pairs of congruent sides.

B. The figure is a parallelogram because a diagonal is bisected.

C. The figure is not necessarily a parallelogram because the diagonals are not congruent.

D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.

Answer 1

The answer is D. The figure is not necessarily a parallelogram

Answer 2

D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent

Explanation:

The parallelogram has the following properties:

• Opposite sides are parallel by definition.
• Opposite sides are congruent.
• Opposite angles are congruent.
• Consecutive angles are supplementary.
• The diagonals bisect each other.

A. The figure is a parallelogram because there are two pairs of congruent sides.

- no

B. The figure is a parallelogram because a diagonal is bisected.

- no

C. The figure is not necessarily a parallelogram because the diagonals are not congruent.

-no

D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.

-yes