Checkmate with different pieces left

The following I got on the following website:
http://www.thechessdrum.net/chessacademy/CA_Checkmate.html

Here are some checkmates against the lone King.  The first two of these four mating methods are the easiest to learn.  The last two require a bit more patience and understanding.

• King vs King and Queen
• King vs King and Rook (see diagram 1)
• King vs King and two Bishops
• King vs King, Bishop and Knight (see diagram 2)

There are many other scenarios, but learning these four are essential! Of course checkmate can occur very early in a game with all of the pieces still on the board.  The quickest checkmate (refering to the previous post) and it demonstrates the danger of exposing the king.  This position is shown in diagram 3.

• It is important to know that YOU CANNOT get checkmate with ONLY a Bishop or only a Knight!

Diagrams:

#1 Checkmate with a Rook (there are a lot more different variations)

 

#2  Checkmate with a Bishop and a Knight

 

#3 Fools mate