Mathematics 4024 · O Level · Transformations

Transformations — practice question

The grid displays triangle $A$.
(a(i))[2]

Triangle $A$ is taken onto triangle $B$ by a translation of $\begin{pmatrix}7\\-5\end{pmatrix}$. Draw and label triangle $B$ on the grid.

(a(ii))[2]

Triangle $A$ is enlarged to triangle $C$ by scale factor $-2$, centre $(-1,2)$. Draw and label triangle $C$ on the grid.

(b(i))[2]

Using the grid above, draw and label triangle $Q$.

(b(ii))[2]

Describe fully the stretch $S$ represented by the matrix $\begin{pmatrix}3&0\\0&1\end{pmatrix}$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Triangle $B$ has vertices at $(4,-1)$, $(4,-4)$ and $(5,-4)$.

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