1. Date: Sec 5-4 Concept: Medians and Altitudes of a Triangle
Objective: Given properties of medians and altitudes of triangles, we will solve problems as measured by a s.g.

2. Vocabulary and Theorems:
Median of a Triangle: a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side
Median

3. The centriod is known as a balancing point
Centroid:
The centroid is the point of concurrency of the medians of a triangle.
Centriod
The centriod is known as a balancing point

4. Thm 5.7: Concurrency of Medians of a Triangle
The medians of a triangle intersect at a point that is 2/3 the distance from each vertex to the midpoint of the opposite side. 5 10

5. Altitude:
The altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side
Altitude

6. Orthocenter:
The orthocenter is the point of concurrency of the altitudes of the triangle
Orthocenter

7. Thm 5.8: Concurrency of Altitudes of a triangle
The lines containing the altitudes of a triangle are concurrent
All altitudes intersect

8. Today’s Work