Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

On a coordinate grid with the x- and y-axes labelled, triangles T and P are shown.
(a(i))[2]

Describe fully the one transformation that maps triangle T onto triangle P.

(a(ii))[2]

Shift triangle T by the vector $\begin{pmatrix}-2\\-5\end{pmatrix}$.

(a(iii))[2]

Rotate triangle T through $90^\circ$ anticlockwise about $(0,0)$.

(a(iv))[2]

Enlarge triangle T using scale factor $-\frac{1}{2}$ with centre $(0,0)$.

(b(i))[1]

Find the column vector from A to B, $\vec{AB}$.

(b(ii))[2]

Find the magnitude $|\vec{AB}|$.

(b(iii))[2]

Find the co-ordinates of point C.

(b(iv))[3]

Find the equation of the straight line through A and B.

(b(v))[1]

The straight line through A and B meets the y-axis at D. Write down the co-ordinates of D.

Worked solution & mark scheme

This 17-mark question has a full step-by-step worked solution and mark scheme. One marking point: A reflection in the line $y=-1$

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