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bisecting
A segment bisector or angle bisector. A bisector can be a line, line segment, or ray.
It's called a Midpoint.
A bisected angle or segment is divided into 2 congruent parts.
yes, to be exact:Angle Bisector Definition: An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles. To construct an angle bisector you need a compass and straightedge. Bisectors are very important in identifying corresponding parts of similar triangles and in solving proofs.