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

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In a parallelogram, opposite sides are congruent. If we denote quadrilateral VSTU as a parallelogram, and if VE is a segment from one of the vertices (let's say vertex V) to some point E, the congruent segment would depend on the construction of the quadrilateral.

However, without a specific diagram or additional context, we can determine that the side opposite to the side VE in the parallelogram would be congruent to VE.

For parallelogram VSTU, if VE is a segment originating from vertex V, then the segment opposite to VE within the parallelogram would be segment ST (the segment that connects vertices S and T). Hence, in this case, segment ST would be congruent to segment VE.

So, to summarize, in parallelogram VSTU, the segment that must be congruent to VE is segment ST.

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