pool stick vs pool cue

pool stick and pool cue both are nouns.

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

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

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

Other synonyms of pool stick include cue, cue stick.

pool stick (noun)	pool cue (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