Question

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

Explanation:

1. Analyze the first option: The blue line passes through point C and has a right - angle (perpendicular) symbol with segment AB, so it is a line through C perpendicular to AB.
2. Analyze the second option: A perpendicular bisector of a segment must pass through the mid - point of the segment and be perpendicular to it. There is no indication that the blue line passes through the mid - point of AB, so it is not a perpendicular bisector.
3. Analyze the third option: There is no information (like a mid - point mark or other indication) that the blue line passes through the mid - point of AB.

Answer:

The line through point C that is perpendicular to segment AB