The words soared, sword sound the same but have different meanings and spellings. Why do soared, sword sound the same even though they are completely different words?
The answer is simple: soared, sword are homophones of the English language.
Simple past tense and past participle of soar.
The use of force, as in war.
Military power or jurisdiction.
A weapon consisting typically of a long, straight or slightly curved, pointed blade having one or two cutting edges and set into a hilt.
An instrument of death or destruction.
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").