Syllabus Edition

First teaching 2021

Last exams 2024

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Congruence (CIE IGCSE Maths: Core)

Revision Note

Test yourself

Congruence

What does congruent mean?

  • In maths, two shapes are congruent if they are identical in shape and size
    • One may be a reflectionrotation, or translation of the other
  • If one shape is an enlargement of the other, then they are not identical in size and so are not congruent

How do we prove that two shapes are congruent?

  • To show that two shapes are congruent you need to show that they are both the same shape and the same size
  • You do not need to shaw that they are facing in the same direction
  • If a shape has been reflected, rotated or translated, then its image is congruent to it

Examiner Tip

  • Tracing paper can help in the exam if you are unsure whether two shapes are congruent
  • Trace over one shape and then see if it fits on top of the other
    • Only do this if the image is drawn to scale

Worked example

Write down the letters of the two shapes below which are congruent to A.


4-5-1-congruence-we-question

Shapes C and are congruent to A

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Amber

Author: Amber

Expertise: Maths

Amber gained a first class degree in Mathematics & Meteorology from the University of Reading before training to become a teacher. She is passionate about teaching, having spent 8 years teaching GCSE and A Level Mathematics both in the UK and internationally. Amber loves creating bright and informative resources to help students reach their potential.