1. 5.2 Bisectors of a Triangle Concurrent lines CircumcenterIncenter

2. Definition of a Perpendicular bisector of a triangle A Perpendicular bisector of a triangle is a perpendicular bisector of a side of a triangle.

3. Definition of Circumcenter Concurrent lines are three of more lines that intersect at one point. When a point is made from perpendicular bisectors it is called the Circumcenter. The Circumcenter is A point of Concurrency from concurrent lines.

4. Definition of Circumcenter When the triangle is acute

5. Definition of Circumcenter When the triangle is Obtuse

6. The Circumcenter can be found by folding

7. Definition of Circumcenter When the triangle is a Right triangle. Where is the Circumcenter

8. Definition of Circumcenter When the triangle is a Right triangle. Where is the Circumcenter At the midpoint of the hypotenuse.

9. A Theorem about the Circumcenter The circumcenter of a triangle is an equal distance from the vertices of the triangle. Why is the triangle in a circle?

10. Definition of the Angle bisector of a Triangle The angle bisector of a triangle is the bisector of each angle. The bisectors of the triangle are concurrent rays, meet at a point of concurrency called the incenter.

11. Definition of Incenter Incenter is the point of concurrency of the angle bisectors of a triangle.

12. Theorem about the Incenter The incenter of a triangle is an equal distance from the sides of the triangle.

13. The incenter is always inside the triangle Obtuse Right

14. Homework Page 275 #10 – 19, 27, 28