Question

a v is the midpoint 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.
e w is the vertex of a right - angle.
f w is the midpoint of a segment in the diagram.

Explanation:

Step1: Analyze mid - point concept

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

Step2: Analyze angle bisector

There is no indication that $\overline{VW}$ divides an angle into two equal parts.

Step3: Analyze segment bisector

There is no information to suggest that $\overline{VW}$ bisects a segment other than potentially being a part of a triangle's side.

Step4: Analyze vertex of congruent angles

There is no evidence that $W$ is the vertex of a pair of congruent angles.

Step5: Analyze vertex of right - angle

There is no right - angle mark indicating that $W$ is the vertex of a right - angle.

Step6: Analyze mid - point of a segment for $W$

There is no indication that $W$ is the mid - point of a segment.

Answer:

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