Perpendicular and Bisectors of a Triangle
An angle bisector of a triangle is a segment that divides an angle of the triangle into two congruent angles. One of the endpoints of an angle bisector is a vertex of the triangle, and the other endpoint is on the side opposite that vertex.
Angle Bisector Theorem: if a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.
Perpendicular Bisectors: a segment, ray, line or plane that is perpendicular to a segment at its midpoint.
Perpendicular Bisector Theorem: if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Find out more about the bisectors of the angles of a triangle and perpendicular bisectors of the sides of a triangle below.
Perpendicular and Bisectors of a Triangle
Practice: Identify and use angle bisectors in triangles in the following exercises.
Perpendicular and Bisectors of a Triangle 1
Perpendicular and Bisectors of a Triangle 2