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.

Start practising Read the lesson

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 shape $S$ on a grid.(a) Reflect shape $S$ in the line $y = x$ . Label the image $T$ .

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

Triangle $T$ is reflected in the $x$ -axis to give triangle $T'$ .

Write down the coordinates of the vertices of $T'$ .
Level 2 · 2 marksTry it
3
The diagram shows triangle $P$ and triangle $Q$ on a coordinate grid.(a) Describe fully the single transformation that maps triangle $P$ onto triangle $Q$ . [3]

(b) Triangle $P$ is translated by the vector $\begin{pmatrix} -2 \\ 3 \end{pmatrix}$ . Write down the coordinates of the image of the vertex $(1, 1)$ . [1]
Level 2 · 4 marksTry it
4
The diagram shows trapezium $A$ and trapezium $B$ on a coordinate grid.Describe fully the single transformation that maps trapezium $A$ onto trapezium $B$ .
Level 3 · 3 marksTry it
5
Triangle $P$ has vertices $(2, 1)$ , $(5, 1)$ and $(5, 3)$ .

Triangle $P$ is reflected in the line $y = -x$ to give triangle $Q$ .

(a) Find the coordinates of the vertices of triangle $Q$ .

(b) Explain why triangle $Q$ is congruent to triangle $P$ .
Level 3 · 3 marksTry it

7 more questions on reflections & rotations

Free with an account — just an email, no card. The whole bank, every mark scheme and worked solution.

Start free