Use the image to answer the question.

Question

A parallelogram has vertices upper W, upper X, upper Y, and upper Z. Opposite vertices are connected via diagonal lines that intersect at an interior point labeled upper V. Sides upper W upper X and upper Z upper Y are longer than the other sides.

If quadrilateral WXYZ is a parallelogram, which segment of the figure must be congruent to segment ZV¯¯¯¯¯¯¯¯?

(1 point)
Responses

WZ¯¯¯¯¯¯¯¯¯
upper W upper Z

WV¯¯¯¯¯¯¯¯¯
upper W upper V

XV¯¯¯¯¯¯¯¯
upper X upper V

ZX¯¯¯¯¯¯¯¯

Answer 1

In a parallelogram, the diagonals bisect each other. This means that the segments formed by the intersection of the diagonals at point V are congruent.

Since ZV is one of the segments formed by the diagonal intersection, the segment that must be congruent to segment ZV is segment WV.

Therefore, the correct response is:

WV (upper W upper V).