revenge vs vengeance

revenge and vengeance both are nouns.

Word	Noun	Adjective	Verb	Adverb
revenge	Yes	No	Yes	No
vengeance	Yes	No	No	No

As nouns, vengeance is a hyponym of revenge; that is, vengeance is a word with a more specific, narrower meaning than revenge:

revenge: action taken in return for an injury or offense
vengeance: the act of taking revenge (harming someone in retaliation for something harmful that they have done) especially in the next life

Other hyponyms of revenge include payback, retribution, reprisal.

revenge (noun)	vengeance (noun)
action taken in return for an injury or offense	the act of taking revenge (harming someone in retaliation for something harmful that they have done) especially in the next life

revenge (verb)	vengeance (verb)
take revenge for a perceived wrong