Question

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

(1 point)
Responses

VS¯¯¯¯¯¯¯
line segment cap v cap s

ET¯¯¯¯¯¯¯
line segment cap e cap t

VT¯¯¯¯¯¯¯
line segment cap v cap t

SE¯¯¯¯¯¯¯
line segment cap s cap e
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Answer 1

In a parallelogram, opposite sides are congruent. Since quadrilateral VSTU is a parallelogram, we know the following:

- VS is congruent to TU (VS ≅ TU)
- VT is congruent to SU (VT ≅ SU)

Since you are asking for a segment that is congruent to VE, we would need to look at the relationships based on the provided options.

If we assume that E is a point on one of the sides (though typically not drawn in the context of a parallelogram), we would generally expect that a segment connected to the points at the edges of the parallelogram would be congruent to VE.

That said, based on standard properties of parallelograms, the segment "SE" would be the one directly opposite VE, as E is likely to represent a point aligning vertically or with respect to vertical properties of V, S, T, and U.

Therefore, the correct response is:

**SE** (line segment cap s cap e)

However, please check the context of where E is located relative to the parallelogram and adjust accordingly.