(a(i))[2]
Transformation $P$ is given by the matrix $\begin{pmatrix}-2 & 0\\0 & -2\end{pmatrix}$. $P$ sends triangle $A$ to triangle $B$. Draw and label triangle $B$.
(a(ii))[2]
Describe fully the single transformation represented by $P$.
(a(iii))[1]
Write down the ratio of the area of triangle $A$ to the area of triangle $B$.
(b)[2]
Transformation $Q$ is given by the matrix $\begin{pmatrix}1 & 0\\0 & -1\end{pmatrix}$. $Q$ sends triangle $B$ to triangle $C$. Draw and label triangle $C$.
(c)[2]
Transformation $Y$ is given by the matrix $\begin{pmatrix}1 & 0\\0 & 3\end{pmatrix}$. $Y$ sends triangle $A$ to triangle $D$. Find the matrix for the transformation that sends triangle $D$ to triangle $A$.