GCSE · Transformations

Reflections & rotationsExam-style questions

Reflecting in named mirror lines including y = x and y = −x, rotating about a given centre with a sense, and the exact wording needed to DESCRIBE a transformation for full marks.

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

DifficultyAll Level 2 Level 3 Level 4

1
The diagram shows quadrilateral $S$ and its image $S'$ after a rotation of $180°$ .Find the centre of the rotation.
Level 4 · 2 marksTry it
2
Triangle $R$ has vertices $(2, 3)$ , $(2, 6)$ and $(4, 3)$ .

Triangle $R$ is rotated $90°$ clockwise about the point $(2, 1)$ to give triangle $R'$ .

(a) Find the coordinates of the image of the vertex $(2, 6)$ .

(b) Describe fully the single transformation that maps triangle $R'$ back onto triangle $R$ .
Level 4 · 4 marksTry it
3
The diagram shows shape $P$ and shape $Q$ on a coordinate grid.Describe fully the single transformation that maps shape $P$ onto shape $Q$ .
Level 4 · 3 marksTry it
4
The point $A$ has coordinates $(2, 5)$ .

$A$ is reflected in the line $y = x$ to give $B$ . Then $B$ is reflected in the $x$ -axis to give $C$ .

Write down the coordinates of $C$ .
Level 4 · 2 marksTry it
5
Triangle $P$ is reflected in the line $x = 1$

The image is then translated by the vector $\begin{pmatrix} -4 \\ 0 \end{pmatrix}$ to give triangle $R$ .

Describe fully the single transformation that maps triangle $P$ onto triangle $R$ .

(3 marks)
Level 4 · 3 marksTry it