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 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