resight, recite

The words resight, recite sound the same but have different meanings and spellings. Why do resight, recite sound the same even though they are completely different words?

The answer is simple: resight, recite are homophones of the English language.

recite
  1. :: verb-transitive

    To repeat or utter aloud (something rehearsed or memorized), especially before an audience.

  2. :: verb-transitive

    To relate in detail. See Synonyms at describe.

  3. :: verb-transitive

    To list or enumerate.

  4. :: verb-intransitive

    To deliver a recitation.

resight
  1. :: verb

    To sight, to see, to look at again.

Definitions from The American Heritage® Dictionary of the English Language, 4th Edition, from Wiktionary, Creative Commons Attribution/Share-Alike License and Wordnik.

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About Homophones

Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.

If they are spelled the same then they are also homographs (and homonyms); if they are spelled differently then they are also heterographs (literally "different writing").