what is a perpendicular bisector

A perpendicular bisector is a line that cuts a line segment exactly in half and does so at a right angle (90 degrees).

Here’s the idea in simple terms:

• You start with a line segment, say from point A to point B.

• The perpendicular bisector passes through the midpoint of AB, so it splits AB into two equal lengths.

• It also meets AB at a right angle, forming four 90° angles at the intersection.

A classic fact: any point on the perpendicular bisector is the same distance from A and B, which is why these lines are used to find centers of circles and the circumcenter of a triangle.