Turning N Over

A card with the letter N on it is rotated through two different axes. What does the card look like at the end?
Age
11 to 14
Challenge level
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Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem




Turning N Over
A square card printed with the letter N is held horizontally, as shown in the diagram, where the arrow indicates the direction of North.


The card is turned over by rotating it through $180^{\circ}$ about an axis running from East to West, and then turned over by rotating it through $180^{\circ}$ about an axis runnning from North-East to South West.

How does the diagram now look to a person facing North?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.