A rite is a formal ceremony, such as a wedding rite. Right covers everything else: correct, the opposite of left, or an entitlement. Memory hook: a rite is a ritual, and both start with r-i-t.
The core difference
Rite is a ceremony or custom, whereas right means correct, the opposite of left, or an entitlement.
- rite — a formal ceremony or custom: Coming-of-age rites vary widely between cultures.
- right — correct, not left, or an entitlement: Everyone has the right to a fair trial.
How to tell them apart
Rite is the rare one. If you are writing about a ceremony, a ritual or a traditional practice, use rite. In nearly every other case, right is the word you want.
The mix-up shows up in phrases such as rite of passage, which is correct, and right of way, which is also correct but uses the other word. Notice that rite and ritual share their first letters.