rhyme vs jingle

rhyme and jingle both are nouns.

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

As nouns, jingle is a hyponym of rhyme; that is, jingle is a word with a more specific, narrower meaning than rhyme:

Other hyponyms of rhyme include clerihew, doggerel, doggerel verse, limerick.

rhyme (noun)	jingle (noun)
correspondence in the sounds of two or more lines (especially final sounds)	a comic verse of irregular measure
a piece of poetry	a metallic sound

rhyme (verb)	jingle (verb)
compose rhymes	make a sound typical of metallic objects
be similar in sound, especially with respect to the last syllable