Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

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

On the grid, sketch the image of triangle $A$ after translating by the vector $\begin{pmatrix}-3 \\ 2\end{pmatrix}$.

(a(ii))[2]

On the grid, sketch the image of triangle $A$ after a reflection in the line $y = x$.

(b)[3]

Give the full description of the single transformation that takes triangle $A$ onto triangle $B$.

(c(i))[2]

Determine the matrix for an enlargement with scale factor $-2$ and centre $(0,0)$.

(c(ii))[1]

Calculate the determinant of the matrix in part (c)(i).

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate image at $(-5,4),(-2,4),(-4,6)$

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