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

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 .