Points of concurrency in triangles

Perpendicular Bisector

A line that bisects a segment at a right angle.

Angle Bisector

A ray that bisects an angle.

Perpendicular Bisector Theorem

The theorem that states that the perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the vertices of the triangles

Circumcenter

The point of concurrency of the perpendicular bisectors of a triangle

Angle Bisector Theorem

The theorem that states that the bisectors of the angles of a triangle are concurrent at a point equidistant from the sides of the triangle

Incenter

The point of concurrency of the angle bisectors of a triangle

Median

A line in a triangle that goes from a vertex to the midpoint of the opposite side of a triangle.

Medians of a triangle

The type of lines in a triangle that are are concurrent at a point that is 2/3 the distance from the vertex to the midpoint of the opposite side of a triangle

Centroid

The point of concurrency of the medians of a triangle.

Altitude

A line in a triangle that goes from a vertex perpendicular to the opposite side of a triangle. These lines are concurrent.

Orthocenter

The point of concurrency of the altitudes of a triangle.