Revenge
Vengeance
Synonyms: Vengeance, retaliation, requital, tit for tat, getting even, satisfaction, payback, ultion, retribution, reprisal, recrimination, measure for measure, redress, repayment, and lex talionis.
Vengefulness
Synonyms: Vengefulness, vitriol, spite, malice, malevolence, ill will, antipathy, hostility, venom, hate, rancour, revengefulness, vindictiveness, virulence, spitefulness, maliciousness, malignancy, animosity, enmity, acrimony, poison, hatred, bitterness, and maleficence.
Take revenge on
Synonyms: Take revenge on, get one's revenge on, take vengeance on, settle a/the score with, pay back, retaliate on/against, exact retribution on, give as good as one gets, give tit for tat, get one's own back on, exact/wreak revenge on, avenge oneself on, get even with, get, pay out, take reprisals against, let someone see how it feels, give/return like for like, give someone their comeuppance, and recriminate.
Avenge
Synonyms: Avenge, make retaliation for, exact retribution for, get redress for, requite, take/exact revenge for, retaliate for, take reprisals for, and get satisfaction for.
Example Sentences
He sought revenge after being betrayed by friends.
Revenge never brings true peace or satisfaction.
Her thirst for revenge clouded her judgment.
He plotted his revenge for months in secret.
Seeking revenge only perpetuates a cycle of pain.