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Help at home · Non-Verbal Reasoning

How to explain reflections to your child

Your child finds the mirror image of a figure in a vertical, horizontal or diagonal mirror line.

The note

How schools teach it now

Reflection and lines of symmetry are taught in KS2 maths, often on squared paper. The method: each point stays the same distance from the mirror line but on the other side. Things near the line stay near it; left becomes right for a vertical mirror.

5-minute kitchen-table activity

Stand a small mirror upright on the table. Put a spoon, a coin and a Lego brick on one side and look at the reflection. Ask your child what swapped sides and what stayed the same. Then lay the mirror flat along a different edge.

Worked example

A right-angled triangle has its right angle in the bottom-left corner. Reflect it in a vertical mirror line on its right.

  1. A vertical mirror swaps left and right, but top and bottom stay put.
  2. The bottom-left corner becomes the bottom-right corner.

Answer: A right-angled triangle with the right angle in the bottom-right corner

Common mistakes to watch for

  • Turning the figure instead of reflecting it.
  • Flipping top and bottom when the mirror line is vertical.
  • Missing one small part that also needs to flip.

Encouragement

Try saying
“Check what's next to the mirror line. Lovely careful looking.”
Rather than
“Don't you know what a mirror does?”

Practise reflections with marked questions

Academy11+ marks every answer, shows how your child is doing in each topic and puts the right home-help note next to the ones they find hard.