Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

A point P together with three triangles, A, B and C, is shown on a $1\text{ cm}^2$ grid.
(a)[1]

Determine the area of triangle B.

(b(i))[1]

State the coordinates of point P.

(b(ii))[1]

Find the coordinates of point P after a translation by the vector $\begin{pmatrix}-20 \\ 12\end{pmatrix}$.

(c)[2]

Draw the reflected image of triangle A in the line $y = -1$.

(d(i))[3]

Describe fully the single transformation taking triangle A onto triangle B.

(d(ii))[3]

Describe fully the single transformation taking triangle A onto triangle C.

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