diagonal vs checker board

diagonal and checker board both are nouns.

Word	Noun	Adjective	Verb	Adverb
diagonal	Yes	Yes	No	No
checker board	Yes	No	No	No

diagonal (noun)	checker board (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)	checker board (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