Method: Reflecting a Point

Part of Transformations: Reflections · Section 3 of 6

Deep DiveUnit: Geometry & MeasuresGCSE

This deep dive covers Method: Reflecting a Point 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 3 of 6 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Method: Reflecting a Point

1Find perpendicular distance from point to mirror line
2Go the same distance on the OTHER side
3Plot the reflected point
4For shapes, reflect each vertex and join them up

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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