Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The four shapes A, B, C and D are shown on a coordinate grid in the diagram.
(a(i))[3]

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

(a(ii))[2]

Describe fully the single transformation that takes shape A to shape C.

(a(iii))[3]

Describe fully the single transformation that takes shape A to shape D.

(b)[2]

Find the $2 \times 2$ matrix that represents the transformation in part (a)(iii).

(c)[2]

On the grid, draw the image of shape A after a translation by the vector $\begin{pmatrix}2\\-3\end{pmatrix}$.

(d)[2]

Describe fully which single transformation is represented by the matrix $\begin{pmatrix}0 & 1\\1 & 0\end{pmatrix}$.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: A rotation of $90^{\circ}$ anticlockwise about $(0,2)$

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