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A bisector cuts a line SEGMENT into two congruent line segments. A line has indefinite or infinite length.
Every line bisector divides a line into two halves: by definition!
An angle is divided in half by the angle bisector. A line segment is divided in half by a midpoint.
This line is called the midpoint of the segment. It is located exactly halfway between the endpoints of the segment, dividing it into two equal segments.
A segment bisector or angle bisector. A bisector can be a line, line segment, or ray.