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## 'Decoding Transformations' printed from http://nrich.maths.org/

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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 .