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There are a lot of videos and applets out there that explain how to construct an angle bisector.
it would be perpendicular to the line.
A compass and a straightedge
It means to bisect an angle with a compass and a straight edge or rule.
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.