correspondence vs similarity

correspondence and similarity both are nouns.

Word	Noun	Adjective	Verb	Adverb
correspondence	Yes	No	No	No
similarity	Yes	No	No	No

As nouns, similarity is a hypernym of correspondence; that is, similarity is a word with a broader meaning than correspondence:

correspondence (noun)	similarity (noun)
similarity by virtue of corresponding	the quality of being similar
compatibility of observations	a Gestalt principle of organization holding that (other things being equal) parts of a stimulus field that are similar to each other tend to be perceived as belonging together as a unit
(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
communication by the exchange of letters
the relation of corresponding in degree or size or amount