CAIE IGCSE Mathematics Core C7.1 Transformations Topic Practice

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Question 1

[Maximum number: 3]

The diagram shows a point P and three triangles, A, B and C, on a 1 cm21 \mathrm{~cm}^{2} grid.

Figure for Question 1 — CAIE IGCSE Mathematics Core

Question (a)

(a)

Work out the coordinates of point P after a translation by the vector (−2012)\binom{-20}{12}.
( , )

[ 1 ]

Question (b)

(b)

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

[ 2 ]

Question 2

[Maximum number: 4]
Figure for Question 2 — CAIE IGCSE Mathematics Core

Question (a)

(a)

On the grid, draw the image of

[ 4 ]

Question (i)

(i)

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

[ 2 ]

Question (ii)

(ii)

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

[ 2 ]

Question 3

[Maximum number: 2]

The diagram shows a rectangle and two points, P and C, on a 1 cm21\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.

Figure for Question 3 — CAIE IGCSE Mathematics Core
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