chequerboard vs diagonal

chequerboard and diagonal both are nouns.

Word	Noun	Adjective	Verb	Adverb
chequerboard	Yes	No	No	No
diagonal	Yes	Yes	No	No

chequerboard (noun)	diagonal (noun)
a board having 64 squares of two alternating colors	a punctuation mark (/) used to separate related items of information
	an oblique line of squares of the same color on a checkerboard
	(mathematics) a set of entries in a square matrix running diagonally either from the upper left to lower right entry or running from the upper right to lower left entry
	a line or cut across a fabric that is not at right angles to a side of the fabric
	(geometry) a straight line connecting any two vertices of a polygon that are not adjacent

chequerboard (adjective)	diagonal (adjective)
	having an oblique or slanted direction
	connecting two nonadjacent corners of a plane figure or any two corners of a solid that are not in the same face