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Geometry & MeasuresIntroduction

Mirror Maths

Part of Transformations: Reflections — GCSE Mathematics

This introduction covers Mirror Maths within Transformations: Reflections for GCSE Mathematics. Revise Transformations: Reflections in Geometry & Measures for GCSE Mathematics with 13 exam-style questions and 5 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 1 of 5 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 1 of 5

Practice

13 questions

Recall

5 flashcards

Mirror Maths

Look in a mirror - your reflection is the same distance BEHIND the mirror as you are in front. Mathematical reflections work exactly the same way. Each point moves to a position the same distance on the OTHER side of the mirror line, moving perpendicular to it.
Reflections diagram

Keep building this topic

Read this section alongside the surrounding pages in Transformations: Reflections. That gives you the full topic sequence instead of a single isolated revision point.

Common Mirror LinesMethod: Reflecting a PointWorked Example: Reflecting in x = 2

Practice Questions for Transformations: Reflections

A point P has coordinates (3, 5). It is reflected in the x-axis. What are the coordinates of its image P'?

  • A. (−3, 5)
  • B. (3, −5)
  • C. (5, 3)
  • D. (−3, −5)
1 markfoundation

Fully describe the single transformation that maps shape A onto shape B. Shape A has vertices at (1, 1), (3, 1), (3, 4) and shape B has vertices at (−1, 1), (−3, 1), (−3, 4).

3 marksstandard

Quick Recall Flashcards

Reflecting in y = x
Swap x and y coordinates. Example: (3,4) → (4,3)
Reflecting in y = -x
Swap coordinates AND change both signs. (x,y) → (-y,-x). Example: (3,4) → (-4,-3)

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Transformations: Reflections

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Common Mirror Lines