encourage vs cheer

encourage is not a noun while cheer is a noun.

Word	Noun	Adjective	Verb	Adverb
encourage	No	No	Yes	No
cheer	Yes	No	Yes	No

As verbs, cheer is a hyponym of encourage; that is, cheer is a word with a more specific, narrower meaning than encourage:

encourage (noun)	cheer (noun)
	the quality of being cheerful and dispelling gloom
	a cry or shout of approval

encourage (verb)	cheer (verb)
spur on	become cheerful
inspire with confidence; give hope or courage to	spur on or encourage especially by cheers and shouts
contribute to the progress or growth of	show approval or good wishes by shouting
	cause (somebody) to feel happier or more cheerful
	give encouragement to