Question

9. 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

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

Explanation:

Assuming XY is congruent and parallel to WZ, XY and WZ will also be congruent and parallel to each other. Hence these sides form a parallelogram