Special Segments and Centers (Geometry)

Front

Midsegment

Back

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

Front

Perpendicular Bisector

Back

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

Front

Angle Bisector

Back

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

Front

Median

Back

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

Front

Altitude

Back

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

Front

Circumcenter

Back

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

Front

Incenter

Back

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

Front

Centroid

Back

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

Front

Orthocenter

Back

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