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A line segment would be a subset of a line. You wold draw two closed dots with a line joining them.
A polygon is a closed figure made by joining line segments, where each line segment intersects exactly two others. Many figures are polygons, but take any polygon and remove and edge and you have a figure that is not a polygon. So the anwer is yet it can.
I believe it may be called a diagonal.
A line segment
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