CAIE IGCSE Mathematics Transformation Questions

Practise drawing and fully describing reflections, rotations, enlargements and translations from grid coordinates and transformation data.

Exam points

plot every image vertex under the stated reflection line, rotation centre or translation vector
enlarge each vertex from the given centre using the signed scale factor and correct orientation
describe a transformation fully with its type and required line, centre, angle, factor or vector

[Maximum number: 3]

The diagram shows a point P and three triangles, A, B and C, on a $1 \mathrm{~cm}^{2}$ grid.

(a)

Work out the coordinates of point P after a translation by the vector $\binom{-20}{12}$ .
( , )

[ 1 ]

(b)

Draw the image of triangle A after a reflection in the line y=-1.

[ 2 ]

[Maximum number: 4]

(a)

On the grid, draw the image of

[ 4 ]

(i)

triangle A after a rotation of $90^{\circ}$ clockwise about the origin,

[ 2 ]

Triangle at (2,-3),(5,-3),(5,-2)

B1 for correct size and orientation but wrong position
or for correct $90^\circ$ anticlockwise about the origin

(ii)

triangle A after an enlargement, scale factor 2, centre (7,7).

[ 2 ]

[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.

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