diagonal vs chequerboard

diagonal and chequerboard both are nouns.

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

diagonal (noun)	chequerboard (noun)
a punctuation mark (/) used to separate related items of information	a board having 64 squares of two alternating colors
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

diagonal (adjective)	chequerboard (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