A line between two verticies is called a line segment.
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The line is called a diagonal if it is drawn between two nonadjacent angles.
This is a diagonal line. The definition of a diagonal is a line that joins two nonconsecutive vertices or corners of a polygon.
To find the length of a line drawn between 2 vertices which are not next to each other, first draw a right triangle such that the line is the hypotenuse and the other two lines are drawn parallel to the x-axis and y-axis. Since the length of the other two lines are known, you can then calculate the hypotenuse to find the length of the line between the two vertices.
If two vertices are adjacent to each other, the line segment connecting the two is known as an edge. If they are non-adjacent it is known as a diagonal.
Vertices are points where two lines meet. For example, a square has 4 vertices. A cylinder is comprised of circles, so there is only one line [instead of two lines to meet], so there are no vertices.