Topics / Non-Verbal Reasoning

Non-verbal reasoning: reflections

A reflection is a mirror image. Each point ends up the same distance from the mirror line on the opposite side, so left and right (or up and down) swap.

What is tested

  • Reflection in a vertical or horizontal mirror line
  • Telling a reflection from a rotation
  • Reflected patterns

Worked example

A shape is 2 cm to the left of a vertical mirror line. Where is its reflection?

  1. A reflection is the same distance from the mirror line.
  2. It is on the other side, so 2 cm to the right of the line.

Answer: 2 cm to the right of the mirror line

Exam-day checklist

  • Find the mirror line.
  • Check each point's distance to the line.
  • A reflection reverses, a rotation does not.
  • Use the shape's corners to check.

Common mistakes

  • Confusing a reflection with a rotation.
  • Reflecting across the wrong line.
  • Forgetting that a symmetrical shape looks the same.

Try it yourself

1. The shape is reflected in the dashed vertical mirror line. On which side is the reflection, and does it face the same way?

?
Show answer

On the right, facing the opposite way (a mirror image)

A vertical mirror swaps left and right.

2. The shape is 2 cm to the left of the mirror line. How far to the right of the line is its reflection?

2 cm?
Show answer

2 cm

A reflection is the same distance from the line.

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