Edexcel IGCSE Maths

Revision Notes

5.5.1 Combined Transformations

Combined Transformations – what do I need to know?

  • Combined transformations are more than one transformation, one performed after the after
  • It is often the case that 2 transformations can be equivalent to 1 alternative transformation and you will be expected to spot those
  • Here’s a reminder of the transformations:

1. Rotation

  • Requires an angle, direction and centre of rotation
  • It is usually easy to tell the angle from the orientation of the image
  • Use some instinct and a bit of trial and error to find the centre of enlargement.

 

Rotation-Final-Answer, IGCSE & GCSE Maths revision notes

2. Reflection

  • Mirror line – can be vertical (x = k), horizontal (y = k) or diagonal (y = mx + c)
  • Points on the mirror line do not move
  • Double reflections are possible if the mirror line passes through the object

 

Q1 Reflection Solution, IGCSE & GCSE Maths revision notes

Combined Transformations RN 3, IGCSE & GCSE Maths revision notes

 

Q1-Translations-Solution, IGCSE & GCSE Maths revision notes

4. Enlargement

  • A scale factor and centre of enlargement are needed for an enlargement
  • Enlargements can make shapes smaller if scale factor is fractional
  • Area scale factor is the scale factor squared
  • Negative scale factors mean the shape is enlarged on the other side of the centre of enlargement

 

Enlargement-Q1-Final-Answer, IGCSE & GCSE Maths revision notes

ENSF-Q1-working-and-solution, IGCSE & GCSE Maths revision notes

Worked Example

Combined Transformations Worked Example 1, downloadable IGCSE & GCSE Maths revision notes

Combined Q1, IGCSE & GCSE Maths revision notes

(a)

Combined Transformations Worked Example 2, downloadable IGCSE & GCSE Maths revision notes

Combined Q1 Rotation 2, IGCSE & GCSE Maths revision notes

Combined Q1 Rotation Final, IGCSE & GCSE Maths revision notes

(b)

Combined Transformations Worked Example 3, downloadable IGCSE & GCSE Maths revision notes

Combined Q1 Reflection, IGCSE & GCSE Maths revision notes

(c)

Combined Q1 Final Final Answer, IGCSE & GCSE Maths revision notes

Combined Transformations Worked Example 4, downloadable IGCSE & GCSE Maths revision notes

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