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It should be noted that the actual capture of the king is not played - the game ends as soon as a position arises in which the capture is unavoidable.
The fastest a player can cause a checkmate is 2 moves. This occurs in fool's mate when a player moves their kings bishop's pawn one or two squares and kings knight's pawn two squares, and their oppenent moves their queen to the file of the opponents king's rook (1. f3 e5 2. g4 Qh4# in algebraic notation).
If a player's king is threatened with capture, but that threat can be met, then the king is said to be in check (a check may be met by moving the king to a safe square, but interposing a piece between the king and the threatening piece, or by capturing the threatening piece). If a player is not in check but has no legal move (that is, no move which does not allow his king to be captured), the result of the game is stalemate.
The term is an alteration or Hobson-Jobson of the Arabic phrase "ash-shaykh mat" which means, literally, "the leader (sheik) is killed."
Some common or notable mating patterns have names of their own. Apart from the aforementioned fool's mate, these include scholar's mate, smothered mate and the back rank mate.