homeless vs poor

homeless and poor both are nouns.

Word	Noun	Adjective	Verb	Adverb
homeless	Yes	Yes	No	No
poor	Yes	Yes	No	No

As nouns, poor is a hypernym of homeless; that is, poor is a word with a broader meaning than homeless:

Other hypernyms of homeless include poor people.

homeless (noun)	poor (noun)
poor people who unfortunately do not have a home to live in	people without possessions or wealth (considered as a group)
someone unfortunate without housing

homeless (adjective)	poor (adjective)
physically or spiritually homeless or deprived of security	having little money or few possessions
without nationality or citizenship	lacking in quality or substances
	characterized by or indicating poverty
	of insufficient quantity to meet a need
	deserving or inciting pity