# Perpendicular Bisectors

The perpendicular bisector of a line segment is the line that passes perpendicularly through the midpoint of the line segment.

### Drawing Perpendicular Bisectors

1. Draw a horizontal line segment AB.

2.Using point A as the center, draw a circle with a radius greater than half the line segment AB.

3.Using point B as the centre, draw a circle with an idendical radius as the first.

4.The line that passes through the intersection of the circles is the perpendicular bisector of segment AB.

#### Midpoint of a Line Segment

The intersection of the perpendicular bisector and the line segment AB is the midpoint M.

# Perpendicular Bisectors of a Triangle

Perpendicular bisectors of a triangle are each of the perpendicular lines drawn at the midpoints of each side.

### Circumcenter

The circumcenter is the point of intersection of the three perpendicular bisectors.

The **circumcenter** is the **center** of the **circle inscribed** in the triangle.