CAIE IGCSE Mathematics Extended 7 Transform…ctors

Covered syllabus points

[Maximum number: 5]

(a)

On the diagram, draw the image of

[ 5 ]

(i)

shape A after a translation by the vector $\binom{1}{-7}$

[ 2 ]

Image drawn at ( -2,-3 ),
(-3,-2),(-4,-2) and
(-3, -4)

B1 for translation by $\binom{1}{k}$ or by $\binom{k}{-7}$

(ii)

shape A after a reflection in the line y=x+1.

[ 3 ]

[Maximum number: 1]

Write $\overrightarrow{AB}$ as a column vector.
$\overrightarrow{AB}=\begin{pmatrix}\ \ \\ \ \end{pmatrix}$

$\begin{pmatrix}-10\\3\end{pmatrix}$ final answer

[Maximum number: 4]

$\mathbf u=\begin{pmatrix}3\\-2\end{pmatrix}\qquad \mathbf v=\begin{pmatrix}-12\\5\end{pmatrix}$

(a)

Find u-2 v.

[ 2 ]

$\begin{pmatrix}27\\-12\end{pmatrix}$

B1 for $\begin{pmatrix}27\\k\end{pmatrix}$ or for $\begin{pmatrix}k\\-12\end{pmatrix}$ .

(b)

Find $|\mathbf{v}|$ .

[ 2 ]

13

M1 for $(-12)^2+5^2$ oe soi by 169.

[Maximum number: 2]

Draw the image of triangle A after a rotation, $90^\circ$ clockwise, about (1,3).

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