My mother in law was reading this and had me pass along her advice to you. She is very wise:

"He hit you and you're wondering if you should stay with him??? A man never hits just once. There's more battering in store for you if you stay with him. Another fact is that if he hit you ,he'll hit your child. This danger is very real. She's not his flesh and blood and typically men don't bond well with another man's child. Plus, what sort of example are you sitting for your daughter? The man has lied to you, cheated on you and hit you. What else will it take for you to see what a low-life he is...beat your daughter to a bloody pulp????? Get out now, you can do so much better."