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.

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

Centroid:

The centroid is the point of concurrency of the medians of a triangle.

Centriod

The centriod is known as a balancing point

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

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

Orthocenter:

The orthocenter is the point of concurrency of the altitudes of the triangle

Orthocenter

Thm 5.8: Concurrency of Altitudes of a triangle

The lines containing the altitudes of a triangle are concurrent

All altitudes intersect

Today’s Work