UPDATE: (2018-02-08) Pot-Calling-The-Kettle-Black (PCKB) reconsideration and another example:

The Wikipedia article on PCKB indicates something interesting. It says that originally, the term was Spanish (c. 17th Century) and most often used to indicate hypocrisy, because in those days, BOTH the pot and the kettle were made of a black cast iron, which I why I did not accept it from those who suggested it as an answer. However, the plot thickens … I don’t know if I never researched Wikipedia, if I missed the part I’m about to quote, or if it was added after I originally posted this, but essentially, Wikipedia goes on to say that PCKB has since the 1800’s come to mean what I’m talking about (emphasis mine).

An alternative modern interpretation,[6][7] far removed from the original intention, argues that while the pot is sooty (being placed on a fire), the kettle is shiny (being placed on coals only); hence, when the pot accuses the kettle of being black, it is the pot’s own sooty reflection that it sees: the pot accuses the kettle of a fault that only the pot has, rather than one that they share.

Have two possible meanings simultaneously is very tricky to deal with, because if you say PCKB to someone, some will think it is the meaning of hypocrisy, and others will think it is projection. However, both cases fail to convey the deliberate and devious manipulation that I’m talking about.

Another example of this scenario is the all-too-common occurrence of a female, usually a wife or girlfriend, calling the cops on the man in the relationship for abuse, after she was the one and only that was doing any abusing.

Therefore, for the most part I am abandoning my search for a term to describe this, because all the answers I received were great but none of them hit the target. This leads me believe that maybe no such word exists.

Thus, I shall have to coin one myself.

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UPDATE: (2017-11-23) [Thanksgiving in the USA] I learned of another example just recently that may help sum this concept up in an easily understandable way: You are minding your own business then somebody punches you and yells "He hit me!"

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ORIGINAL:

Is there a term for when someone falsely accuses you of doing to them what they are in actuality doing to you?

When I was a child, my younger brother would punch me and then would tell my mom I punched him (which was in no way true). I know some would call this lying, but I’m looking for a more specific term. I suspect there may be something to do with logical, rhetoric, politics, or debate, but I’m not cognizant of the term if it exists. Perhaps something like the term "ad hominem"?

Any help is appreciated!