Geometry & MeasuresStudy Notes

Worked Example: Reflecting in x = 2

Part of Transformations: ReflectionsGCSE Mathematics

This study notes covers Worked Example: Reflecting in x = 2 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 4 of 5 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 4 of 5

Practice

13 questions

Recall

5 flashcards

Worked Example: Reflecting in x = 2

Reflect point (5, 3) in the line x = 2.

Step 1 Find distance to mirror line

Point is at x = 5, mirror line is x = 2

Horizontal distance = 5 - 2 = 3 units to the right

Step 2 Go same distance on other side

Go 3 units LEFT from x = 2

New x = 2 - 3 = -1

y stays same: y = 3

Step 3 Write image

Image: (-1, 3)

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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