CAIE IGCSE Mathematics Core C7.1 Transformations Topic Practice

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Covered syllabus points

C7.1.1 Reflection of a shape in a vertical or horizontal line.C7.1.2 Rotation of a shape about the origin, vertices or midpoints of edges ofC7.1.3 Enlargement of a shape from a centre by a scale factor.C7.1.4 Translation of a shape by a vector x y J L KK N P OO

Question 1

[Maximum number: 4]

The grid shows two flags, F and A.

Figure for Question 1 — CAIE IGCSE Mathematics Core

Question (a)

(a)

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

[ 2 ]

Question (b)

(b)

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

[ 2 ]

Question 2

[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 2 — CAIE IGCSE Mathematics Core

Question 3

[Maximum number: 2]

Shapes A and B are shown on the grid.

Figure for Question 3 — CAIE IGCSE Mathematics Core

On the grid, draw the image of shape A after a translation by the vector (67)\binom{6}{7}.

Question 4

[Maximum number: 2]

The diagram shows shapes A and B.

Figure for Question 4 — CAIE IGCSE Mathematics Core

On the grid, draw the image of shape A after a reflection in the line y=0.

Question 5

[Maximum number: 2]

The grid shows two flags, F and A.

Figure for Question 5 — CAIE IGCSE Mathematics Core

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

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