IGCSEMathsEdexcelMaths AFoundationExam Questions5. Vectors & Transformation GeometryTransformations

Transformations (Edexcel IGCSE Maths A: Foundation): Exam Questions

Exam code: 4MA1

24 mins6 questions
1
2 marks

Triangle A B C is drawn on a centimetre grid.

Grid with labelled triangle ABC positioned to the right of a vertical mirror line, with the triangle reflected horizontally across the mirror line.

Reflect triangle A B C in the mirror line.

How did you do?

2
2 marks
Grid with x and y axes, displaying two triangles. Triangle P is above the x-axis, and Triangle Q is below. Both triangles are shaded.

Describe fully the single transformation that maps triangle P onto triangle Q.

How did you do?

3a
3 marks

The diagram shows a sketch of triangle A and triangle B on a coordinate grid.

Coordinate grid with two triangles. Triangle A has vertices at (-11,-5), (-7,2), (f,-3). Triangle B has vertices at (6,12), (9,e), (2,d). Diagram not to scale.

Given that triangle A has been translated to give triangle B, work out the value of d, the value of e and the value of f

How did you do?

3b
3 marks

The diagram shows shape P and shape Q drawn on a grid.

Grid with two parallelograms labelled P and Q. P is smaller, at coordinates 2,3 to 3,5. Q is larger, at 6,5 to 9,10. Axes range from 1 to 12.

Describe fully the single transformation that maps shape P onto shape Q

How did you do?

3c
2 marks

On the grid above, rotate shape P 90° clockwise about (3, 5)
Label your shape R

How did you do?

4
2 marks
Graph with two identical right-angled triangles on a grid, reflected in the line x = -1, both positioned above the x-axis, spanning y-values 6 to 11.

Describe fully the single transformation that maps triangle A onto triangle B.

How did you do?

5a
2 marks
Grid with a letter T shape made of shaded squares, spanning columns 2-6 and rows 4-6, on a coordinate plane with x and y axes.

Reflect shape T in the line y equals x

How did you do?

5b
3 marks
Graph with two right triangles labelled A and B; triangle A is smaller, positioned lower, and to the right of triangle B on the grid.

Describe fully the single transformation that maps triangle A onto triangle B

How did you do?

6a
1 mark

Points A, B and C are plotted on the grid below.

Graph with labelled points A, B, and C. A is at (-2, 3), B at (1, 3), and C at (-3, 1) on a grid with x and y axes.

Plot point D on the grid to make the parallelogram ABDC.

How did you do?

6b
2 marks

Reflect ABDC in the x axis.

How did you do?

6c
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2 marks

In a different parallelogram, EFGH, the length EF is 11 cm and angle EFG = 35 degree.

Parallelogram EFGH is enlarged by a scale factor of 3.

For the enlarged parallelogram, write down

(i) the length of the enlarged side that corresponds to EF

(ii) the size of the angle that corresponds to angle EFG

How did you do?