Picture
Concurrency
Theorem
Point of
Concurrency
Description of
Concurrent Lines
Name of
Concurrent Lines
Triangles
Points of Concurrency
Altitudes
Angle
Bisectors
Medians
Perpendicular
Bisectors
perpendicular
segment from a vertex
to the line containing
the opposite side
segment, ray or line
that divides an angle
into two congruent
pieces
segment whose
endpoints are a vertex
and the midpoint of the
opposite side
segment, ray or line
that is perpendicular to
a side of a triangle at
its midpoint
Orthocenter
Incenter
Centroid
Circumcenter
N/A
The incenter is
equidistant from the
sides of the triangle.
The centroid is two thirds
the distance from each
vertex to the midpoint of the
opposite side.
The circumcenter is
equidistant from the
vertices of the triangle.