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 a perpendicular bisector.
v is the vertex of a right angle.
w is the vertex of a right angle.
w is the midpoint of a segment in the diagram.
none of the above.

Explanation:

Step1: Analyze segment bisector

There is no indication that $\overline{VW}$ divides any segment into two equal - length parts, so $\overline{VW}$ is not a segment bisector.

Step2: Analyze perpendicular bisector

There is no evidence that $\overline{VW}$ is perpendicular to and bisects a segment, so $\overline{VW}$ is not a perpendicular bisector.

Step3: Analyze right - angle vertices

Since $\angle VSW = 90^{\circ}$, $V$ is not the vertex of a right - angle. And $\angle VSW=90^{\circ}$, so $W$ is the vertex of a right - angle.

Step4: Analyze mid - point

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

Answer:

W is the vertex of a right angle.