Geometry & MeasuresKey Facts

Common Mirror Lines

Part of Transformations: ReflectionsGCSE Mathematics

This key facts covers Common Mirror Lines 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 2 of 5 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 5

Practice

13 questions

Recall

5 flashcards

Common Mirror Lines

Mirror Line What Happens Example
x-axis (y = 0) y changes sign, x stays same (3,4) → (3,-4)
y-axis (x = 0) x changes sign, y stays same (3,4) → (-3,4)
y = x x and y swap (3,4) → (4,3)
y = -x x and y swap, both change sign (3,4) → (-4,-3)
x = a (vertical) Reflect horizontally in vertical line (1,3) in x=3 → (5,3)
y = b (horizontal) Reflect vertically in horizontal line (2,1) in y=3 → (2,5)

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.

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

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