Mathematics 4024 · O Level · Transformations

Transformations — practice question

(a)[2]

Describe in full the single transformation that carries shape $A$ onto shape $B$.

(b(i))[2]

Shape $A$ is enlarged by scale factor $3$ to map onto shape $C$. Two vertices of shape $C$ are $(2,5)$ and $(5,2)$. Determine the centre of the enlargement.

(b(ii))[2]

Calculate the area of shape $C$.

(c(i))[2]

Transformation $T$ is given by the matrix $\begin{pmatrix}0 & -1 \\ 1 & 0\end{pmatrix}$. On the grid, draw shape $D$.

(c(ii))[3]

Describe in full the single transformation shown by the matrix $\begin{pmatrix}0 & -1 \\ 1 & 0\end{pmatrix}$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: This transformation is a reflection.

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