Unit 4 Study Guide: Triangle Segments, Concurrency, and Quadrilaterals

Vocabulary terms and definitions covering special segments of triangles, points of concurrency, and properties of parallelograms from the Unit 4 Study Guide.

Angle bisector

A segment drawn from a vertex that divides the angle at that vertex into two congruent angles.

Midsegment

A segment whose endpoints are the midpoints of two sides of a triangle.

Perpendicular bisector

A segment that passes through the midpoint of a side and is perpendicular to that side.

Altitude

A segment drawn from a vertex of a triangle that forms a right angle with the opposite side.

Median

A segment that joins a vertex of a triangle to the midpoint of the side across from it.

Orthocenter

The point of concurrency of the lines containing the altitudes of a triangle.

Centroid

The point of concurrency of the medians of a triangle.

Incenter

The point of concurrency of the bisectors of the angles of a triangle.

Circumcenter

The point of concurrency of the perpendicular bisectors of the sides of a triangle.

Quadrilateral with congruent diagonals

A condition that does not guarantee that a quadrilateral is a parallelogram.