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

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In a parallelogram, opposite sides are congruent. Therefore, if quadrilateral VSTU is a parallelogram and you have a segment VE, the segment that must be congruent to it would be the segment that is opposite to VE. If, for example, VE corresponds to one side of the parallelogram, then the side opposite VE would be congruent to it.

In terms of the specific labels of the parallelogram (VSTU), assume VE corresponds to one of the sides (like VS), then the opposite side (in this case UT) must be congruent to VE.

To summarize, in parallelogram VSTU:

  • If VE is one side, then the segment opposite VE (either VT or SU, depending on the specific labeling) is also congruent to VE.
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