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perpendicular bisector
It is called a bisector.
It's the perpendicular bisector.
If your question was: Does a midpoint bisect a segment? Then yes it does... It divides it in half.
The 'x' coordinate of the midpoint is the average of the 'x' coordinates of the segment's ends. The 'y' coordinate of the midpoint is the average of the 'y' coordinates of the segment's ends.
A line that intersects a segment at its midpoint bisects the segment.
I line that intersects a segment at its midpoint.
A Segment Bisector
It is a bisector.
perpendicular bisector
It is called a bisector.
It's the perpendicular bisector.
bisector
Such a line is called a perpendicular bisector.
Take a compass, extend it about 3/4 of the length of the segment. Then from one end of the segment, draw a 180 degree arc. From the other end draw another arc. Connect the points where the arcs intersect. Where the line intersects with the segment is the midpoint of the segment. That is how you bisect a segment to find the midpoint - geometrically.
All bisectors intersect the line segment at the midpoint. There can be multiple bisectors, intersecting at the midpoint at different angles, but they all intersect the line segment at its midpoint. The midpoint separates the line segment into two equal halves.
We learned that the midpoint of a segment divides that segment equally.