Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

Shapes A, B and C are drawn on the $1 \text{cm}^2$ grid. The diagram places the labelled shapes A, B and C on the x-y axes.
(a)[1]

Shape A is a special quadrilateral. Write down the mathematical name of shape A.

(b(i))[3]

Describe fully the single transformation that takes shape A to shape B.

(b(ii))[3]

Describe fully the single transformation that takes shape A to shape C.

(c(i))[2]

translate shape A by the vector $\begin{pmatrix}8\\-4\end{pmatrix}$.

(c(ii))[2]

reflect shape A in the vertical line $x = 2$.

(d)[1]

Calculate the area of shape B.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: The shape is a trapezium.

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