Previously abusive dog owners---do they deserve another chance?

NO I do not. When I was younger my brother abused my dog pretty badly. He was 15. That was quite a few years ago, he is now grown. He had to stay with our mom recently for a while and while there he kicked the sh*t out of her cat and he never did anything in those years between. The cat was limping for a day. I do not trust him around my pets and they're never around him because I don't trust him. Think of it this way, if someone raped and beat a child in the past would you trust them with your kid or want them to have kids...