Does this help?
Explained by New Testament scholar Walter Wink:
"In his books “Engaging the Powers” and “The Powers That Be,” Wink argues that Jesus rejected two common ways of responding to injustice: violent resistance and passive acceptance. Instead, Jesus advocated a “third way,” an assertive but non-violent form of protest.
The key to understanding Wink’s argument is rigorous attention to the social customs of the Jewish homeland in the first century and what these sayings would have meant in that context.
To illustrate with the saying about turning the other cheek: it specifies that the person has been struck on the
right cheek. How can you be struck on the right cheek? As Wink emphasizes, you have to act this out in order to get the point: you can be struck on the right cheek only by an overhand blow with the left hand, or with a backhand blow from the right hand. (Try it).
But in that world, people did not use the left hand to strike people. It was reserved for “unseemly” uses. Thus, being struck on the right cheek meant that one had been backhanded with the right hand. Given the social customs of the day, a backhand blow was the way a superior hit an inferior, whereas one fought social equals with fists".
From
Nonviolence in Christian Belief, we have the same explanation:
"“
Turn the other cheek”: Try this with a friend (or better still an enemy). Ask your friend to strike you on the face. Which cheek did they hit? Which hand did they use? As most people are right handed the odds are your friend would hit you on the left cheek with his/her right hand. The palm of their right hand would also probably have been a clenched fist as they struck you. But Matthew’s text says “if anyone strikes you on the
right cheek.” What sort of strike was being talked about here? OK you say, it’s talking about a strike with the left hand. Again this is ruled out because in the whole Judeo/Greco/Roman world 2,000 years ago, to strike someone with the left hand was totally forbidden as the left hand was considered unclean.
What in fact Jesus was referring to was the right handed back handed (i.e. with the back of the hand) strike imposed as a means of subservience by a Roman master to a slave, of a Roman soldier to a Jewish man, of a Jewish man to a Jewish woman, of a woman to a child, i.e. the oppressor to the oppressed, the superior to the inferior. In Jesus’ audience there would have been Jewish men, women and children, and slaves, who knew exactly what Jesus was referring to.
***So what of Jesus’ command to “Turn the other cheek”? ***Try it with your friend now. You present your friend with your left cheek inviting him/her to strike you again. 2,000 years ago you would have created a dilemma for your adversary. Because firstly the culture prohibits use of the left hand to impose a similar left handed back handed strike to impose subservience: the only alternative is for the person to strike with a clenched fist of the right hand. And herein lies the ‘sting’ - for in the Roman/Greco/Jewish world you could only strike a peer with a fist, i.e. you could only have a fist fight with one your own rank or status. So to hit the person with a fist is to admit they are the same as you in status, rights etc. So by a simple turn of the cheek you have asserted your humanity and attacked the conscience of your oppressor, non-violently".
God Bless!