Median, Perpendicular Bisector, Angle Bisector, Altitude!

property of circumcenter

The circumcenter of a triangle is equidistant from the vertices

property of orthocenter

The orthocenter has no special properties

definition of perpendicular bisector

a line, ray, segment, or plane that passes through the midpoint of the segment and is perpendicular to the segment

Property of centroid

distance from the vertex to the centroid is 2/3 of the distance from the vertex to the midpoint of the opposite side

Property of incenter

equidistant to all sides of the triangle

Point of concurrency of angle bisectors

incenter

definition of median

line segment drawn from any vertex of a triangle to the midpoint of the opposite side (bisecting the segment)

Definition of an Altitude

the perpendicular segment from a vertex to the line that contains the opposite side

Definition of Angle Bisector

An angle bisector divides an angle into two equal parts.

Point of concurrency in Medians

Centroid

point of concurrency of the perpendicular bisectors

Circumcenter

Point of concurrency in Altitudes

Orthocenter