I believe this is called the perpendicular bisector.
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perpendicular bisector
perpendicular bisector
It is perpendicular line segment
There is no name for it except "A line perpendicular to a line segment and passing through its midpoint".
A midpoint is a point. It's the point exactly halfway between the endsof a line segment.A perpendicular bisector is a line. It's the line that passes through themidpoint of the segment, and is perpendicular to the segment.