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A line segment joining two adjacent vertices of a polygon is called an edge or a side. A line segment joining two non-adjacent vertices is called a diagonal.
A line segment connecting two vertices of a polygon is called an edge if the vertices are adjacent to one another. Otherwise it is called a diagonal.
In a polygon, a line segment that connects two vertices is an edge, but only if they are adjacent. A line segment connecting two non-adjacent vertices is a diagonal.
segment * * * * * A more useful answer might be a side or a diagonal.