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# Decoding Transformations

##### Age 11 to 14Challenge Level

In this question, each of the letters $I$, $R$, $S$ and $T$ represents a different transformation.

We can do one transformation followed by another. For example, $R S$ means do $R$, then $S$''.

We can also undo transformations. For example, $R^{-1}$ means do the inverse (opposite) of $R$''.

Here are the effects of some transformations on a shape. Can you describe the transformations $I$, $R$, $S$ and $T$?    What single transformation has the same effect as $R S T I R^{-1}S^{-1}T^{-1}I^{-1}$?

This problem is the first of three related problems.
The follow-up problems are Combining Transformations and Simplifying Transformations .