Special Segments and Centers of Triangles

A segment that joins the midpoints of two sides of a triangle

• median

• angle bisector

• incenter

• midsegment

A line, segment, or ray that divides a segment into two equal parts and is perpendicular to the segment

• perpendicular bisector

• median

• incenter

• orthocenter

A line, segment, or ray that divides an angle into two equal parts

• angle bisector

• altitude

• orthocenter

• centroid

A segment that connects a vertex of a triangle to the midpoint of the opposite side.

• perpendicular bisector

• median

• altitude

• centroid

A segment that connects a vertex of a triangle to the opposite side so that it is perpendicular to that side

• median

• altitude

• incenter

• centroid

The point at which the three perpendicular bisectors intersect in a triangle.

• incenter

• centroid

• circumcenter

• orthocenter

The point at which three angle bisectors intersect in a triangle

• altitude

• centroid

• median

• incenter

The point at which the three medians intersect in a triangle.

• incenter

• centroid

• altitude

• median

The point at which the three altitudes intersect in a triangle

• centroid

• median

• orthocenter

• angle bisector