The words rapped, rapt, wrapped sound the same but have different meanings and spellings. Why do rapped, rapt, wrapped sound the same even though they are completely different words?
The answer is simple: rapped, rapt, wrapped are homophones of the English language.
Simple past tense and past participle of rap.
Past participle of rap2.
Deeply moved or delighted; enraptured: listened to the speaker with rapt admiration.
Deeply absorbed; engrossed: was rapt in thought all evening.
Simple past tense and past participle of wrap.
encased in a wrapping.
Common misspelling of rapt.
Definitions from Wiktionary, Creative Commons Attribution/Share-Alike License, from The American Heritage® Dictionary of the English Language, 4th Edition and Wordnik.
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").