Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The coordinate grid contains triangle A and triangle B.
(a(i))[2]

Draw the image of triangle A after reflecting in the line $x = 2$.

(a(ii))[2]

Draw the image of triangle A after a translation by the vector $\begin{pmatrix}-2\\4\end{pmatrix}$.

(a(iii))[3]

Draw the image of triangle A after an enlargement with scale factor $-\frac{1}{2}$, centre $(3, 1)$.

(b)[3]

Describe fully the single transformation that carries triangle A onto triangle B.

(c)[2]

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

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct image coordinates $(3,-3),(7,-3),(7,-5)$

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