Constructions & Points of Concurrency

Altitude

Median

Angle Bisector

Perpendicular Bisector

Orthocenter

Centroid

Incenter

Circumcenter

The point of concurrency created by the angle bisectors is the _______.

incenter

If a point is equidistant from the endpoints of a segment, then it lies on the _______ of the segment.

perpendicular bisector

The ______ is equidistant from the sides of a triangle.

incenter

The perpendicular bisectors of the sides of the triangle intersect at a point called the _______.

circumcenter

If a point is equidistant from the sides of an angle, then it lies on the ______________.

angle bisector

The point of concurrency created by the medians of a triangle is called the _____________.

centroid

The _______ is equidistant from the vertices of a triangle.

circumcenter

The point of concurrency of the altitudes of a triangle is called the ____________.

orthocenter