Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The diagram shows a coordinate grid with triangles labelled A, B and C. The x-axis and y-axis are marked at integer values from -6 to 6. Triangle A lies in the first quadrant, triangle B lies in the fourth quadrant, and triangle C lies in the second quadrant.
(a)[2]

Describe fully the one transformation that maps triangle A onto triangle B.

(b)[3]

Describe fully the one transformation that maps triangle A onto triangle C.

(c)[2]

On the grid, draw the image of triangle A after translating by the vector $\begin{pmatrix}-2\\-3\end{pmatrix}$.

(d)[2]

On the grid, draw the image of triangle A after a rotation of $180^{\circ}$ about $(2,1)$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Reflection in $y=-1$

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