- Mating with King and rook
The idea is to suppress the position of the enemy's king using the rook and then moving our king to help the mating.
Let's see the example, white's king is on f4, the rook is on a5, while the black's king is on e7, and it's white's turn.
1. Ra6 Kd7
Here rook is advancing towards black's king to corner him to the upper side. The black counters by moving the king towards the rook
2. Ke5 Kc7
Since the rook cannot suppress the black's king anymore, white moves the king.
3. Kd5 Kb7
If you notice, the white didn't move the king to 6th rank, why? Because we need to make a free space on 6th rank, so that the rook may move freely, moving away from the black's king
4. Rh6 Kc7
The rook moved away from the threat. Once again the black's king tried to move towards the rook. At this point, there will be a moment where white's king and the black's position are on the same file, we need to create that moment, so that we are able to move the rook to the 7th rank, this way the black's king cannot move either on 6th or 7th column.
5. Rg6 Kd7
This is the moment we waited for. After this move, we need to move the rook to g7, after that the black's king have no option but to retreat to upper squares.
6. Rg7+ Ke8
Once again the black's king forced to move to upper squares.
7. Ke6 Kf8
8. Ra7 Ke8
9. Ra8#
This time the black's king cannot move any further and it's a checkmate.
Here's the complete video
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