In a parallelogram, opposite sides are congruent. Therefore, in quadrilateral WXYZ, the segment that must be congruent to segment \( ZV \) is the segment that is opposite to it.
Since segment \( ZV \) connects point Z to point V, the segment that will be congruent to \( ZV \) is \( WX \) (the segment opposite to \( ZV \)).
Thus, the correct response is:
\( WX \)