CAIE IGCSE Mathematics Extended Transformation Questions

Practise transformations with oblique reflection lines, negative enlargement factors and algebraic coordinates as well as standard grid cases.

Syllabus
2028–2030
Topic
E7.1
Level
Extended

Exam points

  • reflect vertices across horizontal, vertical or oblique lines while preserving equal perpendicular distances
  • rotate every vertex about the stated centre through the exact angle and direction
  • apply positive or negative scale factors from a centre and describe the enlargement fully

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

E7.1 Transformations question 1

[Maximum number: 4]

Question (a)

(a)
Figure for Question (a) — CAIE IGCSE Mathematics Extended
[ 4 ]

Question (i)

(i)

Rotate shape P through 180∘180^{\circ} about the point (4,1).

[ 2 ]

Question (ii)

(ii)

Reflect shape P in the line y=x+2.

[ 2 ]

E7.1 Transformations question 2

[Maximum number: 4]
Figure for Question E7.1 Transformations question 2 — CAIE IGCSE Mathematics Extended

Question (a)

(a)

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

[ 2 ]

Question (b)

(b)

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

[ 2 ]
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