(a(i))[2]
Describe fully the one transformation that takes triangle $A$ to triangle $B$.
(a(ii))[2]
Triangle $B$ is taken onto triangle $C$ by a translation with vector $\begin{pmatrix}-2\\-3\end{pmatrix}$. Draw and label triangle $C$.
(a(iii))[2]
Triangle $A$ is taken onto triangle $D$ by a reflection in the line $y=x$. Draw and label triangle $D$.
(a(iv))[2]
Triangle $E$ is geometrically similar to triangle $A$ and its longest side measures $12\text{ cm}$. Calculate the area of triangle $E$.
(b)[1]
State the number of lines of symmetry of the octagon above.
(c)[1]
The cross-section of a prism is an equilateral triangle. State the number of planes of symmetry of the prism.
(d)[2]
Name two special quadrilaterals that have exactly $2$ lines of symmetry and also rotational symmetry of order $2$.