Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

A coordinate grid shows triangle A and triangle B. Triangle A is marked 'A' close to its middle, and triangle B is marked 'B'. The axes are labelled $x$ and $y$.
(a(i))[2]

Draw triangle A's image after reflecting it in the line $x = 0$.

(a(ii))[2]

Draw triangle A's image after an enlargement with scale factor 2 and centre $(0, 4)$.

(a(iii))[2]

Draw triangle A's image after a translation by the vector $\begin{pmatrix}-5\\3\end{pmatrix}$.

(b)[3]

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

(c(i))[2]

Find the value of $T(P)$.

(c(ii))[2]

Find the value of $TU(P)$.

(c(iii))[3]

Describe the single transformation shown by the matrix $T$.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: Image vertices at $(0,1), (0,2), (-3,1)$

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