Question

which of the following statements must be true based on the diagram below? select all that apply. (diagram is not to scale.)
answer
$overline{vw}$ is a segment bisector.
$overline{vw}$ is an angle bisector.
$v$ is the vertex of a right angle.
$w$ is the vertex of a right angle.
$v$ is the midpoint of a segment in the diagram.
none of the above.

Explanation:

1. Segment bisector check: A segment bisector divides a segment into two equal parts. $\overline{VW}$ does not split any segment shown into two marked equal parts.
2. Angle bisector check: An angle bisector splits an angle into two equal angles. There is no marking or evidence that $\overline{VW}$ bisects $\angle T$ or any other angle.
3. Right angle check: There is no right angle symbol or evidence that $\angle V$ or $\angle W$ is a right angle.
4. Midpoint check: The markings show $UV = VS$, so $V$ is the midpoint of $\overline{US}$.

Answer:

V is the midpoint of a segment in the diagram.