1. GOALS: 1. To know the definitions of incenter, circumcenter, and centroid. 2. To identify the incenter, circumcenter, and centroid given a diagram. 3. To identify the incenter, circumcenter, and centroid given a description. 4. To find lengths of segments given the centroid.

2. 1. The incenter is the intersection of the ______________________________ & is equidistant from the ____________ of the triangle. angle bisectors sides

3. 2. The circumcenter is the intersection of the ______________________________ & is equidistant from the ____________ of the triangle. perpendicular bisectors vertices

4. 3. The centriod is the intersection of the ______________________________ & the centroid is the ________________ of ____________ medians Center gravity

5. 4. When is the circumcenter inside the triangle? ______________________ 5. When is the circumcenter on the triangle? _______________________ 6. When is the circumcenter outside the triangle? ______________________ In an acute triangle. In an right triangle. In an obtuse triangle.

6. TRUE OF FALSE 7. The centroid can be on the triangle. __________ 8. The incenter is always inside the triangle. __________ 9. The centroid can never by outside the triangle. _________ FALSE TRUE

7. 10 Is J the incenter, circumcenter or centroid? INCENTER

8. 11 Is D the incenter, circumcenter or centroid? CIRCUMCENTER

9. 12 Is H the incenter, circumcenter or centroid? INCENTER

10. 13 Is D the incenter, circumcenter or centroid? CIRCUMCENTER

11. 14 Is L the incenter, circumcenter or centroid? CIRCUMCENTER

12. 15 Is M the incenter, circumcenter or centroid? INCENTER

13. 16 Is H the incenter, circumcenter or centroid? CIRCUMCENTER

14. 17 Is H the incenter, circumcenter or centroid? CENTROID

15. 18 Is H the incenter, circumcenter or centroid? CIRCUMCENTER

16. 19 Is P the incenter, circumcenter or centroid? INCENTER

17. 20 Is Z the incenter, circumcenter or centroid? INCENTER