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# Square Pair

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Age 14 to 18

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- Student Solutions
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Well done to Mateusz from Hautlieu School in Jersey, who sent in a full solution.

Mateusz began by investigating the shapes that $S$ can be transformed into:

Mateusz used co-ordinate geometry to investigate the possible shapes that are formed, but this could also be done using vectors.

Mateusz also considered some special cases which give more specific shapes:

Mateusz repeated the same steps for shape $T,$ and then found some rules for when $S$ and $T$ are transformed into the same shape:

*There are more matrix problems in this feature.*