Maths (Foundation)

Transformations (Edexcel IGCSE Maths): Exam Questions

6 questions · 24 marks · ≈ 24 min

Guided practice

12 marksmedium

(a)

Triangle $ABC$ 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 $ABC$ in the mirror line.

Your answer

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22 markseasy

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.

Your answer

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38 marksmedium

3 marks

(a)

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 $f$

Your answer

3 marks

(b)

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

Your answer

2 marks

(c)

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

Your answer

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42 markseasy

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.

Your answer

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55 marksmedium

2 marks

(a)

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 $y=x$

Your answer

3 marks

(b)

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

Your answer

How did you do?/ 5

65 marksmedium

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.

Your answer

2 marks

Reflect ABDC in the $x$ axis.

Your answer

2 marks

In a different parallelogram, EFGH, the length EF is 11 cm and angle EFG = $35^{\circ}$ .

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

Your answer

How did you do?/ 5