Should I beat up my girlfriend's brother?

Anonymous
This past Halloween, I was invited to a party by the woman who is now my girlfriend. We were just friends at the time, but I really liked her and felt kind of protective of her. At the party I was introduced to her younger brother (~17 years old), and despite his politeness when we first met, I pretty quickly figured out that he's a world-class jerk. He'd invited a gang of friends to the party too, and kept showing off in front of them the way teenage idiots do. But the real problem is, he was super rude to his sister (now my girlfriend) and once he even punched her in the arm, not violently like he wanted to harm her, but just hard enough that it probably hurt. I wanted to beat up the little punk then and there, but it was my first time at her house and I'd just met her parents, so I just simmered there for a minute. I think he realized I was kinda pissed at him and he went away. My girlfriend's reaction to all this was serious, like they weren't just joking with each other, but she seemed to be used to this kind of thing. What do I do if he hits her again when I'm around? I don't want to piss off her parents, but that kid had better wise up.
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+1 y
So the answers I've gotten so far are pretty decisive, but the thing that really puzzles me is people saying it's a unreasonable question. He's bigger and stronger than her, despite being younger, and clearly wasn't doing this as an expression of endearment or humor. Bullies need to be taught with the only language they know.
Should I beat up my girlfriend's brother?
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