King and rook mate is a fundamental endgame technique in which the stronger side uses a king and a rook to force the opponent’s king to the edge of the board and deliver checkmate.
This is one of the most important endgames to master, as it is theoretically winning in all positions — provided the winning side knows the correct method. The technique relies on close coordination between the two pieces: the rook cuts off ranks or files to progressively shrink the enemy king’s available space, while the active king advances to assist in cornering it. The typical mating position has the enemy king trapped on the last rank, checkmated by the rook with the allied king covering the escape squares.
In practice, the most reliable method for improving players is the "box" technique (also called reducing the rectangle): the rook confines the enemy king to a shrinking rectangle, and the winning king then closes in. A key pitfall to avoid is stalemate — a common mistake at this level — so always check that the enemy king has at least one legal move before proceeding.