Question

answer attempt 1 out of 3
□ \\(\overline{st}\\) is a segment bisector.
□ \\(\overline{st}\\) is an angle bisector.
□ \\(s\\) is the vertex of two angles that...

Explanation:

1. For "$\overline{ST}$ is a segment bisector": A segment bisector divides a segment into two equal parts. From the diagram, $QT = TR$ (marked with equal ticks), so $\overline{ST}$ bisects $\overline{QR}$, so this is correct.
2. For "$\overline{ST}$ is an angle bisector": The angle at $S$ is divided into two equal angles (marked with equal arcs), so $\overline{ST}$ bisects $\angle QSR$, so this is correct.
3. For the third option (partially visible), but from the first two: both first and second statements are correct (assuming the third is not fully shown, but based on the marks, segment bisector (since $QT = TR$) and angle bisector (since the angles at $S$ are equal) hold. But likely the question is about identifying which are correct. But if we assume the options are to check which are true:

• $\overline{ST}$ is a segment bisector: True (as $QT = TR$).
• $\overline{ST}$ is an angle bisector: True (as the angles at $S$ are equal).
• (Third option: If it's "S is the vertex of two angles that are...", likely equal, so also true, but based on the marks, the first two are clearly true from the diagram's tick marks (for segment) and arc marks (for angle).

Answer:

$\overline{ST}$ is a segment bisector, $\overline{ST}$ is an angle bisector (and the third statement if it's about equal angles at $S$). But based on the visible options:

• $\boldsymbol{\overline{ST}}$ is a segment bisector: Correct (check the box).
• $\boldsymbol{\overline{ST}}$ is an angle bisector: Correct (check the box).
• (Third option: If it's about $S$ being vertex of equal angles, also correct, but based on the diagram, the first two are confirmed by the tick (segment) and arc (angle) marks.)