Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

A coordinate grid displays triangle $A$, shaded, with vertices at $(3,1)$, $(5,1)$ and $(5,5)$, and triangle $B$ with vertices at $(1,2)$, $(2,2)$ and $(2,4)$. The coordinate axes are marked $x$ and $y$.
(a)[3]

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

(b)[3]

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

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