# Exam-Style Question on Transformations

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 660. This question is similar to one that appeared on a GCSE Higher paper in 2020. The use of a calculator is allowed.

The diagram shows a trapezium A on a grid.

Trapezium A is reflected in the line $$x=10$$ to give trapezium B.

Trapezium B is translated by $$\begin{pmatrix} -6 \\ -3 \\ \end{pmatrix}$$ to give trapezium C.

(a) Draw the trapezia B and C on the grid above.

(b) Trapezium C is reflected in the line $$y=5$$ to give trapezium D. What are the coordinates of the centre of a 180° rotation that would map trapezium D onto trapezium A?

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