CAIE IGCSE Mathematics Extended E7.1 Transformations Topic Practice

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Covered syllabus points

E7.1.1 Reflection of a shape in a straight line.E7.1.2 Rotation of a shape about a centre through multiples of 90°.E7.1.3 Enlargement of a shape from a centre by a scale factor.E7.1.4 Translation of a shape by a vector x y J L KK N P OO

Question 1

[Maximum number: 5]
Figure for Question 1 — CAIE IGCSE Mathematics Extended

Question (a)

(a)

On the diagram, draw the image of

[ 5 ]

Question (i)

(i)

shape A after a translation by the vector (1−7)\binom{1}{-7}

[ 2 ]

Question (ii)

(ii)

shape A after a reflection in the line y=x+1.

[ 3 ]

Question 2

[Maximum number: 6]
Figure for Question 2 — CAIE IGCSE Mathematics Extended

Question (a)

(a)

Reflect triangle T in the line x=1.

[ 2 ]

Question (b)

(b)

Rotate triangle T through 90∘90^{\circ} anticlockwise about (6, 0).

[ 2 ]

Question (c)

(c)

Enlarge triangle T by a scale factor of -2, centre (1,0).

[ 2 ]

Question 3

[Maximum number: 2]
Figure for Question 3 — CAIE IGCSE Mathematics Extended

On the grid, draw the image of

triangle A after a rotation 90∘90^{\circ} clockwise, centre (1,-2).

Question 4

[Maximum number: 3]
Figure for Question 4 — CAIE IGCSE Mathematics Extended

On the diagram, draw the image of

shape A after a reflection in the line y=x+1.

Question 5

[Maximum number: 2]
Figure for Question 5 — CAIE IGCSE Mathematics Extended

Enlarge triangle T by a scale factor of -2, centre (1,0).

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