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Yes. It does.
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.
vertical line segment
A segment bisector or angle bisector. A bisector can be a line, line segment, or ray.
No, the definition of a bisector is the point at which a segment is divided into two equal halves. Of course, a segment may be divided further. However, there can be only one bisector of any one segment.