cheddar vs American cheese

cheddar and American cheese both are nouns.

Word	Noun	Adjective	Verb	Adverb
cheddar	Yes	No	No	No
American cheese	Yes	No	No	No

As nouns, cheddar and American cheese are synonyms defined as:

cheddar and American cheese: hard smooth-textured cheese; originally made in Cheddar in southwestern England

Other synonyms of cheddar include Armerican cheddar, cheddar cheese.

cheddar (noun)	American cheese (noun)
hard smooth-textured cheese; originally made in Cheddar in southwestern England	hard smooth-textured cheese; originally made in Cheddar in southwestern England