A diagonal of a polyhedron is a line between any two vertices except outer vertices.
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A line that joins any vertex of a polygon (or polyhedron) to any vertex other than itself or adjacent ones is a diagonal.
According to Wikipedia: A diagonal can refer to a line joining two nonconsecutive vertices of a polygon or polyhedron... See the related link for more detail.
Yes, but not a polygon (or polyhedron).Consider a quadrilateral with one diagonal. The end points of the diagonal are at odd vertices while the other two are even.
Assuming that you mean diagonal (not diagnol) lines, they are straight lines that join non-adjacent vertices in a polygon or polyhedron.
No, they are the faces of the polyhedron.