Question
If quadrilateral W XY Z is a parallelogram, which segment of the figure must be congruent to segment ZV ?
(1 point)
0 XV
• WV
O WZ
0 Zx
(1 point)
0 XV
• WV
O WZ
0 Zx
Answers
GPT-4o mini
In a parallelogram, opposite sides are congruent. If quadrilateral WXYZ is a parallelogram, then the side opposite to segment ZV would be segment WX. However, since WX is not listed as an option, let's identify which of the given options are congruent to ZV:
1. XV
2. WV
3. WZ
4. ZX
Since ZV is not explicitly an opposite side of WXYZ, it’s also important to note that adjacent segments in a parallelogram are not necessarily congruent. Therefore, we would look at the congruency of length based on the listed choices.
Given the options listed and the basic properties of a parallelogram, **WV** would maintain the relationship of congruency to ZV since they are opposite segments of a parallelogram forming equal length sides.
So the answer is:
• WV
1. XV
2. WV
3. WZ
4. ZX
Since ZV is not explicitly an opposite side of WXYZ, it’s also important to note that adjacent segments in a parallelogram are not necessarily congruent. Therefore, we would look at the congruency of length based on the listed choices.
Given the options listed and the basic properties of a parallelogram, **WV** would maintain the relationship of congruency to ZV since they are opposite segments of a parallelogram forming equal length sides.
So the answer is:
• WV