impression vs belief

impression and belief both are nouns.

Word	Noun	Adjective	Verb	Adverb
impression	Yes	No	No	No
belief	Yes	No	No	No

As nouns, impression and belief are synonyms defined as:

Other synonyms of impression include feeling, notion, opinion.

impression (noun)	belief (noun)
an impressionistic portrayal of a person	any cognitive content held as true
the act of pressing one thing on or into the surface of another	a vague idea in which some confidence is placed
(dentistry) an imprint of the teeth and gums in wax or plaster
an outward appearance
a vague idea in which some confidence is placed
a clear and telling mental image
a symbol that is the result of printing or engraving
all the copies of a work printed at one time
a concavity in a surface produced by pressing