Mathematics 4024 · O Level · Transformations

Transformations — practice question

Shapes $A$, $B$ and $C$ are displayed on a coordinate grid.
(a)[2]

Describe fully the single transformation that takes shape $A$ to shape $B$.

(b)[1]

Reflect shape $A$ across the $x$-axis.

(c)[2]

Enlarge shape $A$ by scale factor $2$, centre $(5,4)$.

(d(i))[2]

The transformation $P$ is shown by the matrix $\begin{pmatrix}0 & -1\\1 & 0\end{pmatrix}$. $P$ sends shape $A$ onto shape $C$. Draw and label shape $C$.

(d(ii))[3]

Describe fully the single transformation that takes shape $A$ onto shape $C$.

(d(iii))[1]

Find the matrix that represents the transformation taking shape $C$ onto shape $A$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: A translation of $(2, -5)$.

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