The first point of concurrency is the CENTROID

1. The first point of concurrency is the CENTROID Top second box

2. The centroid is the point where the __________s of the triangle intersect. (next box) MEDIANS! To the left

3. It will always be located inside the triangle, because you draw a median from the midpoint of the side to the angle opposite that side. Point of Concurrency Location

4. Special Features of the CENTROID It is referred to as the “weighted center” or “balancing point” of a triangle.

5. Talk with the person sitting next to you about how you will remember it. (Someone volunteer to share your answer with the class)

6. The second point of concurrency is the INCENTER

7. The incenter is the point where the __________s of the triangle intersect. (next box) Angle Bisectors To the left

8. It will always be located inside the triangle, because you are bisecting the interior angles, inside the triangle. Point of Concurrency Location

9. Special Features of the INCENTER Equidistant from the sides of the triangle It is the center of a circle that inscribes the triangle. Like this:

10. Talk with the person sitting next to you about how you will remember it. (Someone volunteer to share your answer with the class)

11. The third point of concurrency is the CIRCUMCENTER

12. The circumcenter is the point where the __________s of the triangle intersect. Perpendicular Bisectors

13. ANSWER: If it is an ACUTE : INSIDE If it is a right : It will be ON the hypotenuse of the triangle because perpendicular lines form right angles. If it is an obtuse : it will be OUTSIDE Point of Concurrency Location

14. CIRCUMCENTER Perpendicular bisector Perpendicular bisector Perpendicular bisector Special Features of the CIRCUMCENTER Equidistant from the vertices of the triangle It is the center of a circle that circumscribes the triangle. Like this:

15. Talk with the person sitting next to you about how you will remember it. (Someone volunteer to share your answer with the class)

16. The fourth point of concurrency is the ORTHOCENTER

17. The orthocenter is the point where the __________s of the triangle intersect. Altitudes

18. ANSWER: If it is an ACUTE : INSIDE If it is a right : It will be ON the vertex of the 90º angle If it is an obtuse : it will be OUTSIDE Point of Concurrency Location

19. Special Features of the ORTHOCENTER Can be used to find the area of a triangle

20. Talk with the person sitting next to you about how you will remember it. (Someone volunteer to share your answer with the class)