Question

which of the following best describes the blue line in this image?
the line that goes through the midpoint of segment ab
the line through point c that is perpendicular to segment ab
the perpendicular bisector of segment ab

Explanation:

Step1: Analyze the properties of the line

The line is perpendicular to segment AB (as indicated by the right - angle symbol) and it bisects segment AB (since it is a line that divides AB into two equal parts).

Step2: Recall the definition of perpendicular bisector

A perpendicular bisector of a segment is a line that is perpendicular to the segment and passes through its mid - point. The blue line in the image satisfies both these conditions for segment AB.

Answer:

The perpendicular bisector of segment AB