Question

answer
$overline{qs}$ is a perpendicular bisector.
$q$ is the vertex of a right angle.
$s$ is the vertex of a right angle.
$q$ is the midpoint of a segment in the diagram.
$s$ is the midpoint of a segment in the diagram.
none of the above.

Explanation:

1. Analyze each option:

• For “$\overline{QS}$ is a perpendicular bisector”: A perpendicular bisector should be perpendicular to a segment and bisect it. From the diagram, we only know $\angle Q$ is a right angle, but there's no information that $\overline{QS}$ bisects another segment, so this is incorrect.
• For “$Q$ is the vertex of a right angle”: In the diagram, $\angle Q$ has a right - angle symbol, so $Q$ is the vertex of a right angle. This is correct.
• For “$S$ is the vertex of a right angle”: The right - angle symbol is at $Q$, not at $S$, so this is incorrect.
• For “$Q$ is the midpoint of a segment in the diagram”: There's no indication that $Q$ is the midpoint of any segment, so this is incorrect.
• For “$S$ is the midpoint of a segment in the diagram”: There's no information to suggest that $S$ is the midpoint of a segment, so this is incorrect.
• For “None of the above”: Since the option “$Q$ is the vertex of a right angle” is correct, this is incorrect.

Answer:

B. $Q$ is the vertex of a right angle.