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.

Consider quadrilateral WXYZBased on the information given is the quadrilateral a parallelogram ExplainA The figure is a parallelogram because there are two pair class=

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Answer:

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

Step-by-step 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

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