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

?

(1 point)
Responses

VT¯¯¯¯¯¯¯
line segment cap v cap t

VS¯¯¯¯¯¯¯
line segment cap v cap s

SE¯¯¯¯¯¯¯

1 answer

In a parallelogram, opposite sides are congruent. Therefore, if we are given that \( VSTU \) is a parallelogram and we need to find which segment is congruent to \( VE \), we must look for segments that are either opposite or not dependent on which vertices are connected.

Assuming \( VE \) is one side of the parallelogram:

  1. \( VT \) is one of the sides of the parallelogram (assuming \( V \) and \( T \) are opposite vertices).
  2. \( VS \) is another side of the parallelogram.
  3. \( SE \) would not correspond directly to either of the other sides in congruence since \( V \) and \( S \) are not opposite vertices.

Given this setup:

  • The segment \( VT \) is congruent to \( VE \).
  • The segment \( VS \) is not congruent to \( VE \).
  • The segment \( SE \) is unlikely to be congruent as it is not tied to the vertices of the parallelogram.

So, the correct response is:

VT