counter check vs bank check

counter check and bank check both are nouns.

Word	Noun	Adjective	Verb	Adverb
counter check	Yes	No	No	No
bank check	Yes	No	No	No

As nouns, bank check is a hypernym of counter check; that is, bank check is a word with a broader meaning than counter check:

counter check: a blank check provided by a bank for the convenience of customers who are making withdrawals
bank check: a written order directing a bank to pay money

Other hypernyms of counter check include check, cheque.

counter check (noun)	bank check (noun)
a blank check provided by a bank for the convenience of customers who are making withdrawals	a written order directing a bank to pay money