What do you call words that rhyme but have the same meaning?

There isn't a specific term for words that rhyme *and* have the same meaning.

Here's why:

* Rhyming words simply share the same ending sounds. They don't necessarily have the same meaning (e.g., "cat" and "hat").

* Synonyms are words that have the same or nearly the same meaning (e.g., "happy" and "joyful").

Therefore, words that both rhyme and have the same meaning would simply be considered synonyms that also rhyme.

While there's no specific name for this, it's a fun linguistic phenomenon!