My PHD in mathmatics sugjests that a line segment has actually 587.5 point thingies. I hope you like working in the fast food industry tool.
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A line segment cannot have more than one midpoint or else you will be creating multiple line segments that are connected to each other. A line segment can only have one midpoint.
A bisector is a line (or line segment) which passes through the midpoint. You can have multiple lines intersect at this one point, and all of them will bisect the original line segment, since they pass through its midpoint. A perpendicular bisector passes through the midpoint, and also is perpendicular to the original line segment, so there will be only one of those.
No. A line segment can have only one midpoint.
There is only one point on the line segment, which is equidistant from the endpoints.
Average the x and y (and z if there is one) coordinates to find a midpoint of a line.