# Perpendicular Bisectors of Triangles

- Author:
- Lee Carroll

## The perpendicular bisector for each segment is given. Arrange the segments to make different triangles.

## Perpendicular Bisectors of Triangles

What do you notices as you arrange the segments?

## Circumcenter

If three or more lines intersect at a single point, then the lines are

**concurrent lines**The point where three or more lines intersect is called a**point of concurrency**. The point of concurrency for perpendicular bisectors is called the**circumcenter**.## The perpendicular bisector for each side of triangle ABC is given. Move the vertices to make different triangles.

## Perpendicular Bisectors of Triangles

What do you notice about the circumcenter D? Use the distance measuring feature to find the distance from the point D to each vertex. Manipulate the triangle one more time. What do you notice?

## Circumcenter Theorem

The circumcenter of any triangle is

**equidistant**to the vertices of the triangle.