(a(i))[1]
Find $\overrightarrow{FH}$ from the information given.
(a(ii))[2]
Using vectors, show that $GD$ is parallel to $FH$ using the given relationships.
(a(iii)(a))[2]
It is given that $c = \frac{4}{5}a + \frac{1}{5}b$. Express $\overrightarrow{DC}$ in terms of $a$ and $b$.
(a(iii)(b))[1]
Find the ratio $|\overrightarrow{AF}| : |\overrightarrow{DC}|$.
(b(i)(a))[2]
The transformation $T$ sends triangle $ABC$ onto triangle $A'B'C'$. Describe fully the transformation $T$.
(b(i)(b))[2]
The matrix $M$ represents $T$. Find the matrix $M$.
(b(ii))[1]
Triangle $A'B'C'$ is carried to triangle $A''B''C''$ by a reflection in the $y$-axis. Draw and label triangle $A''B''C''$.
(b(iii))[1]
Triangle $ABC$ is mapped to triangle $A''B''C''$ by an anticlockwise rotation about the origin. State the angle of rotation.