Which best explains if quadrilateral wxyz can be a parallelogram?

WXYZ is not necessary a parallelogram it is unkown if WC = CY.

Step-by-step explanation:

Given : Quadrilateral WXYZ .

To find : Which best explains if quadrilateral WXYZ can be a parallelogram.

Solution : We have given that quadrilateral WXYZ .

Given diagonal bisect XZ :   CZ = CX

By the property of parallelogram : The diagonals bisect each other.

But we do not have WC = CY

To be a parallelogram it must be  equal WC = CY

Then we can not say WXYZ is a parallelogram.

Therefore, WXYZ is not necessary a parallelogram it is unkown if WC = CY.