Question

a v is the mid - point of a segment in the diagram. b vw is an angle bisector c vw is a segment bisector. d w is the vertex of a pair of congruent angles in the diagram.

Explanation:

Step1: Analyze option A

The marks on the segments show that $V$ is the mid - point of segment $US$ since the two sub - segments $UV$ and $VS$ are congruent.

Step2: Analyze option B

There is no indication that $\angle UW S$ is divided into two equal angles by $\overline{VW}$, so $\overline{VW}$ is not an angle bisector.

Step3: Analyze option C

There is no segment that $\overline{VW}$ divides into two equal parts other than potentially being part of a triangle side, but the marks do not suggest it bisects any segment in that sense.

Step4: Analyze option D

There is no pair of congruent angles with $W$ as the vertex shown in the diagram.

Answer:

A. V is the midpoint of a segment in the diagram.