CAIE IGCSE Mathematics Transformations and Vectors

Practise reflections, rotations, enlargements, translations and vector calculations across coordinate grids and geometric proofs.

[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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