Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The diagram contains triangle $T$ on a coordinate grid with the $x$-axis and $y$-axis displayed.
(a(i))[2]

Translate triangle $T$ by the vector $\begin{pmatrix}-7 \\ 1\end{pmatrix}$. Give the image the label $K$.

(a(ii))[1]

Describe fully the one transformation that takes triangle $K$ to triangle $T$.

(b)[2]

Reflect triangle $T$ across the line $y = 4$.

(c)[2]

Rotate triangle $T$ by $90^{\circ}$ clockwise about $(0,0)$.

(d(i))[2]

Enlarge triangle $T$ by scale factor $-\frac{1}{2}$ with centre $(0,0)$. Label the image $P$.

(d(ii))[2]

Describe fully the one transformation that maps triangle $P$ onto triangle $T$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: The image is at $(-5,3),(-1,3),(-1,5)$

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