Question

What additional information would allow you to prove the quadrilateral is a parallelogram?

A) XW≅XY

B) XW≅WZ

C) XW║YZ

D) XY║WZ

Answer 1

C) XW║YZ

Explanation:

A parallelogram is a quadrilateral (a polygon with four sides) in which opposite sides are equal in length and parallel to each other.

In quadrilateral WXYZ, side WX and side YZ are equal in length (as indicated by the tick marks).

To prove that the quadrilateral is a parallelogram, we would need to know that sides WX and YZ are parallel. If WX and YZ are equal in length and parallel, this means that XY and WZ must also be equal in length and parallel, hence meeting the defining properties of a parallelogram.