1

The matrix $\begin{pmatrix}0&-1\\1&0\end{pmatrix}$ maps triangle $T$ onto triangle $T'$. Describe fully the single transformation, and state the area scale factor. [3]

2

A transformation maps $(1,0)$ to $(0,-1)$ and $(0,1)$ to $(1,0)$. Write down its matrix and describe it fully. [3]

3

Shape $S$ has area $5\text{ cm}^2$. It is transformed by $\begin{pmatrix}3&0\\0&3\end{pmatrix}$. Work out the area of the image. [2]

4

A point is transformed by a rotation of $90^{\circ}$ anticlockwise about the origin, followed by a reflection in the $x$-axis. Find the single matrix. [3]

5

Work out $\begin{pmatrix}2&1\\1&3\end{pmatrix}\begin{pmatrix}1&2\\0&1\end{pmatrix}$. [3]