Don't be too ready to use that line. For all we know, most abuses may be committed by women.
People don't do things for environmental reasons. Sure, everyone's environment affects them. But it's not the cause. People do things because on some level they choose to. People who have been abused have boundary issues and power issues and self-hate issues and so many other issues (thanks to our society's piss-poor way of handling truth and shame and what-not), and those issues can sometimes make it more likely for someone to be in a position to choose to become an abuser, but that's not the same thing any more than being poor causes people to be criminals.
It's just as Ken said above, with the heroin-user-pot-user analogy.
And it's true. And I, like many of us, know, because I was abused, but I never abused anybody.