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 Everyday Examples
 Diagonal:  A line segment formed by connecting two nonadjacent vertices (i.e., not on the same side) in a polygon or a polyhedron.

Image source: http://www.cs.washington.edu/homes/yasuhara/photographs/quad-diagonal-view.jpg

A diagonal route is likely a shortcut when crossing a rectangular grass field. The Pythagorean Theorem can be used to determine the length of the diagonal.