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Homonyms are words which sound alike or are spelled alike, but have different meanings. Both homophones and homographs are a kind of homonym because they either sound the same (homophone) or are spelled the same (homograph).
Homophones
(sound the same, but different meanings)
Homographs
(spelled the same, but different meanings)
Homonyms
(may be spelled the same or sound the same, but different meanings)