consonance vs rhyme

consonance and rhyme both are nouns.

Word	Noun	Adjective	Verb	Adverb
consonance	Yes	No	No	No
rhyme	Yes	No	Yes	No

As nouns, rhyme is a hypernym of consonance; that is, rhyme is a word with a broader meaning than consonance:

consonance: the repetition of consonants (or consonant patterns) especially at the ends of words
rhyme: correspondence in the sounds of two or more lines (especially final sounds)

Other hypernyms of consonance include rime.

consonance (noun)	rhyme (noun)
the property of sounding harmonious	correspondence in the sounds of two or more lines (especially final sounds)
the repetition of consonants (or consonant patterns) especially at the ends of words	a piece of poetry

consonance (verb)	rhyme (verb)
	compose rhymes
	be similar in sound, especially with respect to the last syllable