Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

(a(i))[2]

On the grid, sketch the image of triangle T after translation by the vector $\begin{pmatrix}6\\-5\end{pmatrix}$.

(a(ii))[2]

On the grid, draw the image of triangle T after a $90^\circ$ anticlockwise rotation about centre $(4, 10)$.

(a(iii))[2]

On the grid, draw the image of triangle T after enlargement with scale factor $\frac{1}{2}$, centre $(10, 0)$.

(b)[2]

Describe fully the single transformation shown by the matrix $\begin{pmatrix}0 & -1\\-1 & 0\end{pmatrix}$.

(c(i)(a))[2]

Find the product MN.

(c(i)(b))[2]

Find the product NP.

(c(i)(c))[2]

Find the inverse $M^{-1}$.

(c(ii))[1]

Write down one product formed from two of the matrices M, N and P that cannot be evaluated.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: The image vertices are $(8,1),(10,5),(8,5)$

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