Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The diagram displays shape $A$ on a coordinate grid.
(a(i))[2]

On the grid, sketch the image of shape $A$ after reflecting it in the line $x = 1$.

(a(ii))[2]

On the grid, sketch the image of shape $A$ after an enlargement with scale factor $-2$, centre $(0, 1)$.

(a(iii))[3]

On the grid, sketch the image of shape $A$ after applying the transformation represented by the matrix $\begin{pmatrix}0 & -1\\ 1 & 0\end{pmatrix}$.

(b)[3]

Describe fully the single transformation shown by the matrix $\begin{pmatrix}3 & 0\\ 0 & 3\end{pmatrix}$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: The image is at $(3,1),(5,1),(5,4),(4,4),(4,2),(3,2)$

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