Master Geometry: The Power Of Bisectors In Solving Angles & Segments

Definition of a Bisector

a line or segment that intersects a segment or angle and divides it into two congruent halves

A bisector is a line, ray, or line segment that divides another line segment or angle into two equal parts. Specifically, when a bisector divides a line segment, it creates two equal smaller line segments, whereas when it divides an angle, it forms two smaller angles that are congruent to each other. Bisectors can be used in geometry to solve problems involving angles and segments, as well as to identify important points such as the incenter and circumcenter of a triangle.

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