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Rearrange the Square

Age 5 to 7
Challenge Level

Simply cutting a corner off a square can lead to a puzzling activity.
1st sq
So the little triangle is removed:

This little triangle is then put back making sure that a corner of the triangle is always touching a corner of the shape that the triangle came from, and two edges line up.

We can then make new shapes:

2 examples
Which were made as follows:

So here's the challenge: Can you make all the following and tell us about how they are made from the two shapes?

18 shapes