Yes or 'True'
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Bisect a segment is to divide the line segment into 2
No. Since a line is infinite, it has no mid-point. A bisector must go through a midpoint so nothing can bisect a line (not even a segment).
Sure. There's even a special name for that line. It's called the "perpendicular bisector" of the segment.
No
If your question was: Does a midpoint bisect a segment? Then yes it does... It divides it in half.