An angle bisector is a line or ray that divides an angle into two equal parts. In geometry, it is an important concept used to find the measures of angles and to construct various shapes. The angle bisector of an angle can be drawn from the vertex to the opposite side, creating two smaller angles that are congruent. In a triangle, the three angle bisectors intersect at a point called the incenter. This point is equidistant from all three sides of the triangle, making it useful for constructing inscribed circles. Angle bisectors play a crucial role in various geometric constructions and proofs.