The words click, clique sound the same but have different meanings and spellings. Why do click, clique sound the same even though they are completely different words?
The answer is simple: click, clique are homophones of the English language.
A brief, sharp sound: the click of a door latch.
A mechanical device, such as a pawl, that snaps into position.
Computer Science An instance of pressing down and releasing a button on a pointing device, such as a mouse.
Linguistics Any of various implosive stops, such as that of English tsk, produced by raising the back of the tongue to make contact with the palate and simultaneously closing the lips or touching the teeth or alveolar ridge with the tip and sides of the tongue, and found as phonemic consonants especially in the Khoisan and some Bantu languages. Also called suction stop. See Usage Note at !Kung.
A small exclusive group of friends or associates.
Informal To form, associate in, or act as a clique.
Definitions 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").