She vowed to 'avenge herself' [=to get revenge], saying she would make him pay for what he had done to her.
The team is out to 'avenge' last week's defeat. [=to defeat the team that they were defeated by last week]
They vowed to 'avenge' their father by capturing and punishing his killer.
(..) - Now pull! - We must turn back! - No! I gave them my word! - Get on there! William! Come, and avenge your father. Who was too weak to raise his sword. Go on. Watch them die. How does it feel, knowing you were the one who led them to their deaths? (..)2012 Snow White and the Huntsman
(..) beauty your power and protection. By fairest blood it is done. Here, drink, drink. But be warned, by fairest blood this spell can be undone. Avenge us! I'm sorry. - I'm sorry, I didn't know. - You're not. - I am. - You left us. We should never have been there. Look at me. (..)2012 Snow White and the Huntsman