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Mathematics · Grades 6–9

Reflection in a vertical line

The image is the same distance on the opposite side of the mirror line.

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The key idea

The image is the same distance on the opposite side of the mirror line.

x′ = 2h − x; reflection in x = h

Worked examples

Reflect (9, -5) in x = -2. What is the new x-coordinate?

2 × (-2) − (9) = -13

-13

Reflect (-12, 2) in x = -9. What is the new x-coordinate?

2 × (-9) − (-12) = -6

-6

Try it yourself

  1. Reflect (11, 2) in x = -1. What is the new x-coordinate?

  2. Reflect (11, -7) in x = -4. What is the new x-coordinate?

Check your understanding

Answers and marking notes
  1. -13

    2 × (-1) − (11) = -13

  2. -19

    2 × (-4) − (11) = -19

Further reading and review references

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Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.