Investigate what happens if you reflect the blue flag in Mirror 1, then reflect that reflection in Mirror 2.

Do you get the same results for the red flag if you reflect it first in Mirror 2 then reflect that reflection in Mirror 1?

You might like to copy the diagram onto squared paper to help you with this investigation.

Describe the single transformation that takes the first flag to the third flag in this sequence of reflections?

Repeat this with flags in different positions and orientations, and with different pairs of parallel lines. What happens? Does it matter in which line you reflect first?

Click here for the Mirror Mirror worksheet.

Click here for Notes for Teachers.

If you have enjoyed this problem, why not have a go at these learning activities from NRICH …on the Wall and Who is the fairest of them all? ?

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