1. Jim Smith JCHS SECTION 5-1 spi.3.2.J

2. There are 3 of each of these special segments in a triangle. segments in a triangle. The 3 segments are concurrent. They intersect at the same point. This point is called the point of concurrency. The points have special names and special properties.

3. Start at a vertex and form a 90° angle with the line containing the opposite side. Orthocenter

4. The orthocenter can be located in the triangle, on the triangle or outside the triangle. Right Legs are altitudes Obtuse

5. Angle bisectors start at a vertex and bisect the angle. Incenter

6. Any point on an angle bisector is equidistance from the sides of the angle

7. This makes the Incenter an equidistance from all 3 sides

8. A Perpendicular bisector of a side does not have to start at a vertex. It will form a 90° angles and bisect the side. a 90° angles and bisect the side. Circumcenter

9. Any point on the perpendicular bisector of a segment is equidistance from the endpoints of the segment. A B C D AB is the perpendicular bisector of CD

10. This makes the Circumcenter an equidistance from the 3 vertices

11. The median starts at a vertex and ends at the midpoint of the opposite side. Centroid

12. The centroid is 2/3’s of the distance from the vertex to the side. from the vertex to the side. 2x x 10 5 32 X16

13. The centroid is the center of balance for the triangle. You can balance a triangle on the tip of your pencil if you place the tip on the centroid

14. Altitude.. Vertex.. 90°.. Orthocenter Vertex.. 90°.. Orthocenter Angle Bisector.. Angle into 2 equal angles.. Incenter Angle into 2 equal angles.. Incenter Perpendicular Bisector… 90°.. bisects side.. Circumcenter 90°.. bisects side.. Circumcenter Median.. Vertex.. Midpoint of side.. Centroid Vertex.. Midpoint of side.. Centroid

15. Give the best name for AB ABABABABAB || | | || Median Altitude None A Angle Perp Bisector Bisector

16. Survival Training You’re Stranded On A Triangular Shaped Island. The Rescue Ship Can Only Dock On One Side Of The Island But You Don’t Know Which Side. At Which Point Of Concurrency Would You Set Up Camp So You Are An Equal Distance From All 3 Sides? INCENTER

17. What If The Ship Could Only Dock At One Of The Vertices? Would You Change The Location Of Your Camp ? If So, Where? YES CIRCUMCENTER CIRCUMCENTER

18. Where would you place a fire hydrant to make it equidistance to the houses and equidistance to the streets? ELM POST

19. ELM POST Angle bisector for the streets Perpendicular bisector for houses