Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The grid contains three triangles named T, U and W.
(a(i))[2]

On the grid, draw the translated image of triangle T using the vector $\begin{pmatrix}-4\\4\end{pmatrix}$.

(a(ii))[2]

On the grid, draw the image of triangle T after a reflection in the line $y=-1$.

(b)[3]

Describe fully the single transformation that maps triangle T onto triangle U.

(c(i))[2]

Describe fully the single transformation that maps triangle T onto triangle W.

(c(ii))[2]

Find the $2\times2$ matrix that represents the transformation in part (c)(i).

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Image vertices correctly placed at $(-2,5),(1,5),(1,7)$.

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