1. Bellwork 1)If, what is ? 2)If, what is ? 3)If, what is ? What is x?

2. Lesson 5.4 Use Medians and Altitudes

3. Objective Use medians and altitudes of triangles

4. Standard Prep for 12.0

5. Academic Language Median of a triangle Centroid Altitude of a triangle orthocenter

6. Incenter Define and draw the incenter of a triangle for an obtuse triangle. Where is the incenter, where is the incenter on a right triangle, where is the incenter of an acute triangle?

7. Median of a triangle A segment from a vertex to the midpoint of the opposite side.

8. Centroid Point of concurrency of the medians of a triangle Find the median for an acute triangle, obtuse triangle, and right triangle

9. Concurrency of a Triangle

10. Example

11. Altitudes of a Triangle Altitude of a triangle is the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side.

12. Concurrency of altitudes of a triangle

13. Orthocenter Practice Find it for acute, right, and obtuse triangles by drawing the figures

15. Homework p.322 #1, 2, 5, 7, 9, 11, 17, 21, 25