ANGLE BISECTORS and MEDIANS

Angle Bisector

A ray that divides an angle into two congruent parts

Incenter

Always in the interior of the triangle; point of concurrency of where all the angle bisectors cross

The Incenter is

Equidistant from the sides of the triangle

Median

From a vertex to the midpoint of the opposed side

Centroid

Always interior; point of concurrency of where all the medians meet

Centroid Theorem

The distance from the vertex to the centroid is 2/3 the length of the median