poor vs homeless

poor and homeless both are nouns.

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

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

Other hyponyms of poor include needy.

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

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