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No. A line segment can have only one midpoint.
Average the x and y (and z if there is one) coordinates to find a midpoint of a line.
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.
The middle point of a line segment.
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.