Mathematics 4024 · O Level · Transformations

Transformations — practice question

The grid contains triangles $A$ and $B$ together with rectangle $R$.
(a)[2]

Triangle $A$ is sent to triangle $B$ by the single transformation $K$. Find the matrix representing transformation $K$.

(b)[1]

Triangle $B$ is taken to triangle $C$ by a reflection in the $y$-axis. On the diagram, draw triangle $C$.

(c)[2]

Triangle $A$ is sent onto triangle $C$ by the single transformation $L$. Describe fully the single transformation $L$.

(d)[2]

Rectangle $R$ is taken to rectangle $S$ by a translation by the vector $\begin{pmatrix}-2\\3\end{pmatrix}$. On the diagram, draw rectangle $S$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\begin{pmatrix}0 & -1 \\ 1 & 0\end{pmatrix}$

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