This applet allows you to transform a plus sign in eight different ways: rotate it ¼, ½, ¾, or a full turn, or flip it vertically, horizontally, or diagonally.
In free mode, you can investigate the results each time you perform a transformation.
In double transformation mode, you can investigate what happens to the shape when two movements are performed one after the other.
Is the act of double transformations commutative? That is, does the order in which you perform two actions influence the result?
Now, try this.
Investigate other double transformations. When the order of two transformations is reversed, is the result the same or different?
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