If we already know that XY=WZ, which additional fact would prove that quadrilateral WXYZ is a parallelogram?

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Answer:

WX=ZY would prove that the quadrilateral WXYZ is a parallelogram

Step-by-step explanation:

The additional fact that would prove that quadrilateral WXYZ is a parallelogram is '' XY = YZ''.

Given

If we already know that XY=WZ,

What is parallelogram?

A Parallelogram is a four-sided quadrilateral whose opposite sides are parallel and congruent to each other.

The opposite angles of a parallelogram are equal.

These bisectors intersect each other at 90 degrees.

And it means that they are perpendicular.

Since they are perpendicular, we find that there 4 congruent triangles, XY is parallel to WZ, and WX is parallel to YZ.

Additionally, opposite angles are equal.

These two latter findings are the characteristics of the parallelogram.  

Hence, the additional fact that would prove that quadrilateral WXYZ is a parallelogram is '' XY = YZ''.

To know more about Parallelogram click the link given below.

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