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STALEMATE is one way to draw the game, but not the only way.
The game is declared a DRAW if it is not possible for either player to force CHECKMATE.
So if you reach a position with king against king, king against king and bishop or king against king and knight the game is a draw.
The diagram on your left demonstrates that it's not possible to CHECKMATE with a king and bishop: the next diagram will show you the same thing with a king and knight.
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