GCSE · Transformations

Translations & enlargementsExam-style questions

Column vectors as translations, enlargement by a positive, fractional or negative scale factor from a centre, finding the centre and scale factor from a picture, and why lengths scale but angles don't.

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14 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 3 Level 4

1
The diagram shows shape $F$ and shape $G$ .Describe fully the single transformation that maps shape $F$ onto shape $G$ .
Level 3 · 2 marksTry it
2
The diagram shows triangle $H$ and the point $C$ .(a) Enlarge triangle $H$ by scale factor $2$ , centre $C$ .

(b) Write down the coordinates of the image of the vertex $(4, 3)$ .
Level 3 · 3 marksTry it
3
Triangle $T$ has vertices $(1, 1)$ , $(3, 1)$ and $(1, 2)$ .

Triangle $T$ is translated by the vector $\begin{pmatrix} -4 \\ 3 \end{pmatrix}$ to give triangle $T'$ .

Write down the coordinates of the vertices of $T'$ .
Level 3 · 2 marksTry it
4
The diagram shows shape $A$ and shape $B$ on a coordinate grid.Describe fully the single transformation that maps shape $A$ onto shape $B$ .
Level 3 · 2 marksTry it
5
Triangle $T$ has vertices $(2, 1)$ , $(4, 1)$ and $(2, 4)$ .

Triangle $T$ is enlarged by scale factor $\tfrac12$ , centre the origin, to give triangle $T'$ .

Write down the coordinates of the vertices of $T'$ .
Level 3 · 2 marksTry it