Should I break up with my boyfriend if he beat his ex girlfriend?

So I've been dating this dude for a while now and things were going good. His ex inboxed me some pictures of her on Facebook. He didn't just hit her, he actually beat tf out of her. She showed me the pictures and the police report. She told me that they were arguing over him being in another female's face and she slapped him and then he got mad and hit her back. Then she threw her shoe at him and they started full on fighting.

Now, he's never been violent towards me at all. He is pretty temperamental but he's never showed any physical aggression. I haven't asked him about it because I'm not even sure how I'm supposed to respond to it.
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Should I break up with my boyfriend if he beat his ex girlfriend?
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