Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

A coordinate grid displays triangle A and triangle B. Triangle A is shaded, and the x- and y-axes are labelled.
(a(i))[2]

Draw the image of triangle A reflected in the line x = 4.

(a(ii))[2]

Draw the image of triangle A after a $90^{\circ}$ anticlockwise rotation about (0, 0).

(a(iii))[2]

Draw the image of triangle A after translation by the vector $\begin{pmatrix}1\\-5\end{pmatrix}$.

(b)[3]

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

(c)[2]

Find the matrix that represents the transformation in part (a)(ii).

(d(i))[2]

Find G(P), the image of P under the transformation represented by G.

(d(ii))[3]

Find GF(P).

(d(iii))[3]

Find the matrix Q such that GQ(P) = P.

Worked solution & mark scheme

This 19-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct reflected image at $(5,1),(7,1),(7,4)$

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