The act of revenging; vengeance; retaliation; a returning of evil for evil.
source: Webster 1913
verb
take revenge for a perceived wrong
He wants to avenge the murder of his brother.
source: WordNet 3.0
To inflict harm in return for, as an injury, insult, etc.; to exact satisfaction for, under a sense of injury; to avenge; -- followed either by the wrong received, or by the person or thing wronged, as the object, or by the reciprocal pronoun as direct object, and a preposition before the wrong done or the wrongdoer.