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 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
2
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
3
Triangle $P$ has vertices $(2, 1)$ , $(5, 1)$ and $(2, 3)$ .

Triangle $P$ is rotated $180°$ about the origin to give triangle $P'$ .

Write down the coordinates of the vertices of $P'$ .
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