Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The diagram presents three shapes, A, B and C, on a coordinate grid with the x-axis and y-axis drawn. Shape A lies to the right of the y-axis and below the x-axis. Shape B lies to the left of the y-axis and below the x-axis. Shape C lies to the right of the y-axis and above the x-axis.
(a(i))[2]

Describe in full the single transformation that takes shape A to shape B.

(a(ii))[3]

Describe in full the single transformation that takes shape A to shape C.

(b(i))[2]

On the grid, sketch the image of shape A after reflecting it in the line $y = 2$.

(b(ii))[2]

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

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Translation through vector \(\begin{pmatrix}-7 \\ -1\end{pmatrix}\)

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