Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The diagram contains three triangles, A, B and C, plotted on a 1 cm$^2$ grid.
(a(i))[3]

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

(a(ii))[3]

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

(b(i))[2]

On the grid, draw the image of triangle A after translating by the vector $\begin{pmatrix}-5 \\ 4\end{pmatrix}$.

(b(ii))[2]

On the grid, draw the image of triangle A after reflecting it in the line $x = -4.5$.

(c)[2]

Use trigonometry to demonstrate that angle $b$ is $63.4^\circ$, correct to 1 decimal place.

(d)[2]

Are all three triangles similar? State a reason for your answer.

Worked solution & mark scheme

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