Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The grid diagram contains three triangles $A$, $B$ and $C$. Triangle $A$ is shaded. The coordinate grid shows the x- and y-axes. Angle $w$ is labelled at the top vertex of triangle $B$.
(a)[1]

Find angle $w$.

(b)[1]

Explain why triangle $B$ and triangle $C$ are congruent.

(c(i))[3]

Describe fully the one transformation that takes triangle $A$ to triangle $B$.

(c(ii))[3]

Describe fully the one transformation that takes triangle $B$ to triangle $C$.

(d(i))[2]

Draw the translated image of shape $A$ on the grid using the vector $\begin{pmatrix} 7 \\ -1 \end{pmatrix}$.

(d(ii))[2]

Draw the reflected image of shape $A$ in the line $y=-1$ on the grid.

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