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The triangle mate involves a queen, supported by a rook on the same file two squares away, delivering checkmate to a king that is either at the edge of the board or whose escape is blocked by a piece; the queen, rook, and king together form a triangular shape, hence the name of the mating pattern.
A back-rank checkmate is a checkmate delivered by a rook or queen along a back rank (that is, the row on which the pieces [not pawns] stand at the start of the game) in which the mated king is unable to move up the board because the king is blocked by friendly pieces (usually pawns) on the second rank. [45]
If the king is in check and the checked player has no legal move to get out of check, the king is checkmated and the player loses. Under the standard rules of chess, a player may not make any move that places or leaves their king in check. A player may move the king, capture the threatening piece, or block the check with another piece. [1]
In chess, a back-rank checkmate (also known as a corridor mate) is a checkmate delivered by a rook or queen along the opponent's back rank (that is, the row closest to them) in which the mated king is unable to move up the board because the king is blocked by friendly pieces (usually pawns) on the second rank.
The king and rook involved in castling must not have previously moved; There must be no pieces between the king and the rook; The king may not currently be under attack, nor may the king pass through or end up in a square that is under attack by an enemy piece (though the rook is permitted to be under attack and to pass over an attacked square);
Scholar's mate is sometimes referred to as the four-move checkmate, although there are other ways for checkmate to occur in four moves.
Back rank checkmate – checkmate delivered by a rook or queen along a back rank (that is, the row on which the pieces (not pawns) stand at the start of the game) in which the mated king is unable to move up the board because the king is blocked by friendly pieces (usually pawns) on the second rank (Burgess 2009:16).
Some such variants, like Capablanca chess (10×8) or chess on a really big board (16×16), preserve the castling movement of the rooks, meaning that the king moves a different distance along the back rank. In a few variants, most notably Wildebeest chess (11×10), the player may choose to move the king any distance and move the rook accordingly.