Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The diagram displays shapes A, B and C on a coordinate grid.
(a(i))[2]

Draw the image of shape A after it is translated by the vector $\begin{pmatrix}-1\\3\end{pmatrix}$.

(a(ii))[2]

Draw the image of shape A after it has been rotated through $180^\circ$ about the point $(0,0)$.

(a(iii))[3]

Draw the image of shape A after the transformation given by the matrix $\begin{pmatrix}1 & 0\\0 & -1\end{pmatrix}$.

(b)[3]

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

(c)[2]

Find the matrix that represents the transformation mapping shape A onto shape C.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Image with vertices $(1,4),(1,5),(2,5),(4,4)$

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