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