Those interpreting ["If someone strikes you on the right cheek, turn to him the other also"] figuratively have cited historical and other factors in support. They note that at the time of Jesus, striking someone deemed to be of a lower class with the back of the hand was used to assert authority and dominance. If the persecuted person"turned the other cheek," the discipliner was faced with a dilemma. The left hand was used for unclean purposes, so a back-hand strike on the opposite cheek would not be performed. The other alternative would be to punch the person, but this was seen as a statement of equality. Thus, they argue, by turning the other cheek the persecuted was in effect demanding equality.
(from
Wikipedia; the basic summary of this view is that the Sermon on the Mount was to intice people to break Roman law)