pool stick vs cue stick

pool stick and cue stick both are nouns.

Word	Noun	Adjective	Verb	Adverb
pool stick	Yes	No	No	No
cue stick	Yes	No	No	No

As nouns, pool stick and cue stick are synonyms defined as:

pool stick and cue stick: sports implement consisting of a tapering rod used to strike a cue ball in pool or billiards

Other synonyms of pool stick include cue, pool cue.

pool stick (noun)	cue stick (noun)
sports implement consisting of a tapering rod used to strike a cue ball in pool or billiards	sports implement consisting of a tapering rod used to strike a cue ball in pool or billiards