Question

Are you given enough information to determine whether the quadrilateral is a parallelogram? Explain.

Given XY≥WX, XY WZ

A) Yes, if the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram

B) Yes if both pairs of opposite sides of a quadrilateral are congruent

C) Yes, if one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram

D) No, not enough information is given

Answer 1

Option D - No, not enough information is given

Explanation:

No we cannot determine that the quadrilateral is a parallelogram because the only detail given is that pair of opposite sides are congruent.

If both the pairs are congruent, the quadrilateral can be a rectangle or a parallelogram Until we have one more condition, we cannot say that this quadrilateral is a parallelogram