Special Segments and Centers of Triangles

Front

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

Back

perpendicular bisector

Front

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

Back

angle bisector

Front

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

Back

centroid

Front

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

Back

midsegment

Front

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

Back

orthocenter

Front

The point where the angle bisectors of a triangle intersect.

Back

incenter

Front

A line segment from a vertex to the opposite side that is perpendicular to that side.

Back

altitude

Front

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

Back

median

Front

The center of mass of a triangle, found at the intersection of the medians.

Back

centroid

Front

The segment that connects the midpoints of two sides of a triangle is parallel to the third side and half its length.

Back

midsegment theorem