1. Constructing a Circumcenter
Chapter 5.1

2. Perpendicular Bisectors
A segment that intersects a segment at its midpoint and is also perpendicular to the segment.

3. Concurrency
When three or more lines intersect at a common point, the lines are called concurrent lines. The point where concurrent lines intersect is called the point of concurrency. The perpendicular bisectors of each side of a triangle are concurrent lines. We call the point of concurrency the circumcenter of the triangle.

4. Constructing a Circumcenter
Construct a perpendicular bisector for each side of the triangle.
Label the point where the three perpendicular bisectors intersect.

5. 3 types of circumcenters
Acute Right Obtuse

6. Circumcenter theorem
The perpendicular bisectors of a triangle intersect at a point called the circumcenter that is equidistant from the vertices of the triangle. Example: If G is the circumcenter of ΔABC, then GB = GA = GC.