1. 5.3 Medians and Altitudes CentroidOrthocenter

2. Definition of a Median A median is a segment from a vertex of a triangle to the midpoint of its opposite side.

3. Definition of a Centroid The centroid is the point of currency of the medians.

4. How to find by folding

5. Property of the Centroid The Centroid is the balance point of the triangle.

6. Theorem about the Centroid The Centroid is two-thirds of the median.

7. How does CM related to HC? CM = 8 Find HC =

8. Definition of Altitude of a Triangle An Altitude of a triangle is a perpendicular segment from the vertex to the side opposite. The Altitude can be inside or outside, even the legs of a right triangle.

9. Definition of Orthocenter An Orthocenter is the point of Currency of the altitudes.

10. Where is the Orthocenter? The Orthocenter in an Acute triangle is inside. an obtuse triangle is outside a right triangle is on, at the vertex of the right angle

11. Where is the Orthocenter? The Orthocenter in

12. Homework Page 282 – 284 #8 -12, 18 – 20, 21-23, 34, 39 - 45