CAIE IGCSE Mathematics Extended Transformation Questions

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

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

[Maximum number: 4]

(a)

[ 4 ]

(i)

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

[ 2 ]

Image at (4,1), (5,-1), (7,-1), (7,1)
B1 for rotation $180^\circ$ but incorrect position

(ii)

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

[ 2 ]

[Maximum number: 6]

(a)

Reflect triangle T in the line x=1.

[ 2 ]

(b)

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

[ 2 ]

Image at (5,-4),(5,-1),(4,-1)
B1 for rotation $90^\circ$ anticlockwise with other centre or for rotation $90^\circ$ clockwise about (6,0).

(c)

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

[ 2 ]

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