"You have heard that it was said, 'Eye for eye, and tooth for tooth.' But I tell you, Do not resist an evil person. If someone strikes you on the right cheek, turn to him the other also. And if someone wants to sue you and take your tunic, let him have your cloak as well." -Jesus of Nazareth, as quoted in Matthew 5:38-40.
Considering that the reference to 'turn to him the other [cheek] also' is nested between 'Do not resist an evil person' and '...if someone wants to sue you and take your tunic, let him have your cloak as well,' I'd say the point of 'turning the other cheek' was to treat violent people in a benign fashion.