Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The coordinate grid displays triangle $T$ and triangle $Q$.
(a(i))[2]

Draw the image of triangle $T$ after translating it by the vector $\begin{pmatrix}5\\-2\end{pmatrix}$.

(a(ii))[2]

Draw the image of triangle $T$ after reflecting it in the line $y = 1$.

(a(iii))[3]

Describe fully the single transformation that takes triangle $T$ to triangle $Q$.

(b(i))[1]

Calculate $M + P$.

(b(ii))[2]

Calculate $PM$.

(b(iii))[3]

Find $k$.

(c(i))[3]

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

(c(ii))[2]

Find the matrix that represents a reflection in the line $y = x$.

Worked solution & mark scheme

This 18-mark question has a full step-by-step worked solution and mark scheme. One marking point: The image is the triangle with vertices $(2,-4),(2,-5),(4,-4)$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI