CAIE IGCSE Mathematics Core 7 Transformat…Vectors

Covered syllabus points

[Maximum number: 2]

The diagram shows two shapes, A and B, on a grid.

On the grid, draw the image of shape A after a reflection in the line x=-1.

[Maximum number: 4]

The grid shows two flags, F and A.

(a)

On the grid, draw the image of flag F after a reflection in the line x=-1.

[ 2 ]

(b)

On the grid, draw the image of flag F after a rotation of $180^{\circ}$ about (0,0).

[ 2 ]

Fully correct rotation, points (-2,-2),(-2,-4),(-2,-5),(-3,-5),(-3,-4)

B1 for a correct rotation of $180^{\circ}$ about the wrong centre

[Maximum number: 2]

The diagram shows a rectangle and two points, P and C, on a $1\text{ cm}^{2}$ grid.

The rectangle is enlarged by scale factor 2 with centre of enlargement point C.

Find the coordinates of the image of point P.

[Maximum number: 4]

Triangles A, B and C are shown on the grid.

(a)

Rotation

(Centre) (0,0)

$90^{\circ}$ clockwise

3

B1 for each

(a)

On the grid, translate triangle A by the vector $\begin{pmatrix}6\\-4\end{pmatrix}$ .

[ 2 ]

Correct translation
Vertices (2,-3), (2,-5), (5,-3)
B1 for translation by $\begin{pmatrix}k\\-4\end{pmatrix}$ or $\begin{pmatrix}6\\k\end{pmatrix}$

(b)

On the grid, reflect triangle A in the line y=-2.

[ 2 ]

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