Question

which of the following statements must be true based on the diagram below? select all that apply. (diagram is not to scale.)
answer attempt 2 out of 2
$overline{vw}$ 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. $\overline{VW}$ is a segment bisector: A segment bisector divides a segment into two equal parts. There is no indication $\overline{VW}$ splits any segment into two congruent parts, so this is false.
2. $\overline{VW}$ is an angle bisector: An angle bisector splits an angle into two equal angles. There is no marking or evidence $\overline{VW}$ bisects any angle, so this is false.
3. $V$ is the vertex of a right angle: No right angle symbol or evidence of a 90° angle at $V$, so this is false.
4. $W$ is the vertex of a right angle: No right angle symbol or evidence of a 90° angle at $W$, so this is false.
5. $V$ is the midpoint of a segment in the diagram: The congruent tick marks on $\overline{UV}$ and $\overline{VS}$ show $UV=VS$, so $V$ is the midpoint of $\overline{US}$. This is true.
6. None of the above: Since one statement is true, this is false.

Answer:

V is the midpoint of a segment in the diagram.