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

Question

𝑋
𝑉
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(1 point)
Responses

WZ¯¯¯¯¯¯¯¯¯
𝑊
𝑍
¯
line segment cap w cap z

ZV¯¯¯¯¯¯¯¯
𝑍
𝑉
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line segment cap z cap v

ZX¯¯¯¯¯¯¯¯
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line segment cap z cap x

WV¯¯¯¯¯¯¯¯¯

Answer 1

In a parallelogram, opposite sides are congruent. Therefore, if we have quadrilateral WXYZ as a parallelogram and we need to find a segment that is congruent to segment XV (denoted as \( XV \)), we should look for the segment that is opposite to it.

Since \( X \) and \( V \) are endpoints of segment \( XV \), the segment that is opposite to it in the parallelogram would be segment \( WZ \) (denoted as \( WZ \)).

Thus, the correct answer is:

WZ \( \overline{WZ} \)