Question

answer attempt 1 out of 2
(overline{fg}) is a segment bisector.
(overline{fg}) is a perpendicular bisector.
(overline{fg}) is an angle bisector.
(g) is the vertex of two angles that are congruent to one another.
(g) is the vertex of a right angle.
(g) is the midpoint of a segment in the diagram.

Explanation:

Step1: Recall definitions

A segment - bisector divides a segment into two equal parts. A perpendicular bisector is a segment - bisector that is perpendicular to the segment it bisects. An angle - bisector divides an angle into two equal angles.
There is no information indicating perpendicularity or angle - bisecting properties for $\overline{FG}$ from the given diagram. However, if we assume that the marks on the segments suggest equal lengths, and since $\overline{FG}$ is a line segment within the figure, it can be a segment bisector. Also, if we consider the segments connected to point $G$, if the marks on the segments imply equality, $G$ can be the mid - point of a segment. There is no indication of right - angles or congruent angles with $G$ as the vertex from the given diagram.

Answer:

$\overline{FG}$ is a segment bisector.
$G$ is the midpoint of a segment in the diagram.