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Edexcel IGCSE Math A 5.2 transformation geometry

Use this transformation-geometry page to move shapes on grids and describe the single transformation using the correct centre, line or vector.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

Exam points

  • Describe a single transformation fully, including centre, angle, line or vector.
  • Rotate, reflect or translate shapes accurately on coordinate grids with labels.
  • Enlarge shapes using a scale factor and centre, then label the image accurately.

Covered syllabus points

5.2.A Specifying rotations5.2.B Rotate a shape about a point through a given angle5.2.C Positive and negative rotations5.2.D Reflection in a mirror line5.2.E Constructing mirror lines and reflections5.2.F Translation by distance and direction5.2.G Translate a shape5.2.H Column vectors in translations5.2.I Rigid transformations and congruence5.2.J Specifying enlargements5.2.K Angle and length effects of enlargement5.2.L Enlarge a shape given the scale factor With or without5.2.M Complete descriptions of transformations

5.2 Transformation geometry question 1

[Maximum number: 6]

Here is a shape P drawn on a grid of squares.

Figure for Question 5.2 Transformation geometry question 1 — Edexcel IGCSE Math A Higher

Question (a)

(a)

On the grid, rotate shape P180∘\mathbf{P} 180^{\circ} about the point (-3, 2)

Label the new shape Q.

[ 2 ]

Question (b)

(b)

On the grid, translate shape P by the vector (108)\binom{10}{8}

Label the new shape R.

Here are triangle T and triangle U drawn on a grid of squares.

Figure for Question (b) — Edexcel IGCSE Math A Higher
[ 1 ]

Question (c)

(c)

Describe fully the single transformation that maps triangle T onto triangle U.

[ 3 ]

5.2 Transformation geometry question 2

[Maximum number: 4]

Joshua is going to cover a floor with tiles for a customer.
The area of the floor is 45 m245 \mathrm{~m}^{2}
Joshua buys one box of tiles for each 1.5 m21.5 \mathrm{~m}^{2} of floor area.
Each box of tiles costs £64
Joshua also buys 5 bags of tile adhesive.
Each bag of tile adhesive costs £12
Joshua charges the customer £ 3000
Work out his percentage profit.
Give your answer correct to one decimal place.

Figure for Question 5.2 Transformation geometry question 2 — Edexcel IGCSE Math A Higher

Question (a)

(a)

On the grid above, reflect shape A in the line y=x

Figure for Question (a) — Edexcel IGCSE Math A Higher
[ 2 ]

Question (b)

(b)

On the grid above, enlarge shape B by scale factor 2 with centre (1,1)

[ 2 ]
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