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.
(..) Like if your mind was still in control of it, you could have killed the dragon from inside by crushing his heart. I swear, I'm so angry. I'll avenge your beautiful hand and your beautiful foot. I'll chop off the legs of every dragon I fight, with my face. It's the wings and the tails (..)2010 How to Train Your Dragon