Question

which line segment is a perpendicular bisector?

Explanation:

Step1: Recall the definition of a perpendicular bisector

A perpendicular bisector of a line segment is a line segment that is perpendicular to the given line segment and divides it into two equal - length parts.

Step2: Analyze the given line segments in the figure

In the given triangle - related figure, we look for a line segment that satisfies two conditions: (1) It is perpendicular to another line segment. (2) It bisects (divides into two equal parts) that line segment.
The line segment \(CF\) is perpendicular to \(AE\) (as indicated by the right - angle symbol) and also bisects \(AE\) (as indicated by the equal - length marks on either side of the point where \(CF\) intersects \(AE\)).

Answer:

\(CF\)