IGCSE Cambridge (CIE) Maths 3 hours 21 questions
Exam Questions
Transformations
Translations / Reflections / Rotations / Enlargements
Easy (5 questions) /10 Scan here to return to the course
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Medium (9 questions) /72
Hard (7 questions) /70
Total Marks /152
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Easy Questions
1 Reflect the shape in line L .
(2 marks)
2 Reflect the below shape in the line AB .
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(2 marks)
Draw the enlargement of the triangle by scale factor 3, centre X .
(2 marks)
4 Shape A is shown on the grid.
[2]
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On the grid, enlarge shape A by scale factor 3.
(2 marks)
5 Enlarge the rectangle using a scale factor of 3 and centre of enlargement O .
[2]
(2 marks)
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Medium Questions
1 (a)
Describe fully the single transformation that maps
i) triangle A onto triangle B ,
[3]
ii) triangle A onto triangle C ,
[2]
iii) triangle A onto triangle D .
[3]
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(8 marks)
(b) On the grid, draw the image of triangle A after a reflection in the line x = − 2.
(2 marks)
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2 (a) The grid shows a point E and four quadrilaterals, A , B, C and D .
Describe fully the single transformation that maps
i) shape A onto shape B ,
[2]
ii) shape A onto shape C ,
[2]
iii) shape A onto shape D .
[3]
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(6 marks)
(b) i) Write down the coordinates of the point E .
[1]
ii) On the grid, draw the image of shape A after an enlargement by scale factor 3, centre
E.
[2]
(3 marks)
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3 (a)
Describe fully the single transformation that maps
i) triangle A onto triangle B ,
[3]
ii) triangle A onto triangle C ,
[2]
iii) triangle A onto triangle D .
[3]
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(8 marks)
(b) On the grid, draw the image of triangle A after a reflection in the line y = − 1.
(2 marks)
Describe fully the single transformation that maps shape A onto shape B .
(3 marks)
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5 (a)
The diagram shows four shapes A , B, C and D .
Describe fully the single transformation that maps shape A onto
i) shape B ,
[3]
ii) shape C ,
[2]
iii) shape D .
[3]
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(8 marks)
⎛
⎜
−3 ⎞
⎟
(b) On the grid, draw the image of shape A after a translation by the vector ⎜
⎜
⎟
⎟
⎝
2 ⎠
(2 marks)
6 The diagram shows two triangles, A and B , and two points P and Q .
i) Describe fully the single transformation that maps triangle A onto triangle B .
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[3]
⎛
⎜
4 ⎞
⎟
ii)On the grid, draw the image of triangle A after a translation by the vector ⎜⎜
−2
⎟
⎟
⎝ ⎠
[2]
iii) On the grid, draw the image of triangle A after a rotation through 90° clockwise
about (0, 0).
[2]
(7 marks)
7 (a)
Describe fully the single transformation that maps triangle A onto triangle B.
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(2 marks)
(b) Describe fully the single transformation that maps triangle A onto triangle C .
(3 marks)
⎛ −2 ⎞
(c) On the grid, draw the image of triangle A after a translation by the vector
⎜ ⎟
−3
⎜ ⎟
⎜ ⎟
⎝ ⎠
(2 marks)
(d) On the grid, draw the image of triangle A after a rotation of 180° about (2, 1).
(2 marks)
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8 (a)
Describe fully the single transformation that maps
i) shape A onto shape B ,
[3]
ii) shape B onto shape C ,
[2]
iii) shape C onto shape D .
[3]
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(8 marks)
(b) On the grid, draw the image of shape D after a reflection in the line x = − 1.
(2 marks)
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9 (a)
Rotate the triangle above clockwise by 90° about the point ( 0, 0 and label it A.
)
(2 marks)
(b) Reflect the original shape in the line x = − 1 and label it B.
(2 marks)
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Hard Questions
1 (a)
Describe fully the single transformation that maps
i) triangle A onto triangle B ,
[3]
ii) triangle A onto triangle C ,
[2]
iii) triangle A onto triangle D .
[2]
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(7 marks)
(b) On the grid, enlarge triangle A by scale factor 0.5, centre (4, 0).
(2 marks)
On the grid, draw the image of
⎛
⎜
3 ⎞⎟
ia) triangle A after a translation by the vector ⎟,
−
⎜ ⎟
⎜
⎝
7 ⎠
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[2]
ib) triangle A after a reflection in the line x = 3.
[2]
ii) Describe fully the single transformation that maps triangle A onto triangle B.
[3]
iii) Describe fully the single transformation that maps triangle A onto triangle C .
[3]
(10 marks)
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3
On the grid, draw the image of
1
ia) shape A after an enlargement with scale factor 2 , centre ( 3 , -5 )
[2]
ib) shape B after a reflection in the line y = − 3.
[2]
ii) Describe fully the single transformation that maps triangle C onto triangle D .
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[3]
(7 marks)
4 (a) Triangles A , B and C are shown on the grid.
Describe fully the single transformation that maps
i) triangle A onto triangle B ,
[3]
ii) triangle A onto triangle C .
[3]
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(6 marks)
(b) On the grid,
⎛ 6 ⎞⎟
i) translate triangle A by the vector
⎜
⎟,
−
⎜
⎜ ⎟
⎝
2 ⎠
[2]
ii) reflect triangle A in the line y = 1.
[2]
(4 marks)
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5 (a)
Describe fully the single transformation that maps shape A onto shape B .
(3 marks)
(b) Describe fully the single transformation that maps shape A onto shape C .
(3 marks)
⎛ 3 ⎞⎟
(c) On the grid, draw the image of shape A after a translation by the vector
⎜
⎜ ⎟.
⎜ ⎟
⎝
1 ⎠
(3 marks)
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(d) On the grid, draw the image of shape B after a reflection in the line y = 1.
(2 marks)
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6 (a) The diagram shows four shapes A , B, C and D and a point P on a 1cm2 grid.
Find
i) the perimeter of shape A ,
............................................... cm [1]
ii) the area of shape A .
..............................................cm2 [1]
(2 marks)
(b) i) Write down the co-ordinates of point P.
[1]
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Find the co-ordinates of the image of point P when
iia) P is reflected in the y -axis,
[1]
iib) P is reflected in the line y = 6.
[2]
iii) Find the vector that translates point P to the point ( 49, -12).
[2]
(6 marks)
(c) Describe fully the single transformation that maps
i) shape A onto shape B ,
[3]
ii) shape C onto shape D .
[3]
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(6 marks)
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7 (a)
Describe fully the single transformation that maps the shaded quadrilateral onto
i) quadrilateral A ,
[2]
ii) quadrilateral B .
[3]
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(5 marks)
(b) On the grid,
i) reflect the shaded quadrilateral in the line x = 1,
[2]
1
ii) enlarge the shaded quadrilateral by scale factor
2
, centre ( − 1, 0 .
)
[2]
(4 marks)
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