* 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. median
altitude
A segment whose endpoints are a vertex of
the triangle and the midpoint of the
opposite side.
A perpendicular segment from a vertex to
the line containing the opposite side.

3. centroid 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
GR GY
3
=
2
HR HZ
3
=
2
JR JX
3
=
2
3

5. orthocenter The intersection of the altitudes of a
triangle.