Identify altitudes and medians of triangles Identify the orthocenter and centroid of a triangle Use triangle segments to solve problems.

1. Medians and Altitudes
The student is able to (I can):
• Identify altitudes and medians of triangles
• Identify the orthocenter and centroid of a triangle
• Use triangle segments to solve problems

2. medianmedianmedianmedian – a segment whose endpoints are a vertex of the
triangle and the midpoint of the opposite side.
altitudealtitudealtitudealtitude – a perpendicular segment from a vertex to the line
containing the opposite side.

3. centroidcentroidcentroidcentroid – the intersection of the medians of a triangle. It is
also the center of masscenter of masscenter of masscenter of mass for the triangle.

4. Centroid Theorem
The centroid of a triangle is located of the distance
from each vertex to the midpoint of the opposite side.
G
H
J
X Y
Z
R
2
3
GR GY=
2
3
HR HZ=
2
3
JR JX=
2
3

5. orthocenterorthocenterorthocenterorthocenter – the intersection of the altitudes of a triangle.