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?
Image
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.
Answer:
Image
![Turning N Over Turning N Over](/sites/default/files/styles/large/public/thumbnails/content-id-2870-turning%252520n%252520over%252520answer.png?itok=Eoy_xsQn)
East/West:
Image
![Turning N Over Turning N Over](/sites/default/files/styles/large/public/thumbnails/content-id-2870-turning%252520n%252520over%252520east-west.png?itok=RFZEh_xT)
North-East/South-West:
Image
![Turning N Over Turning N Over](/sites/default/files/styles/large/public/thumbnails/content-id-2870-turning%252520n%252520over%252520ne-sw.png?itok=aMaW5VBI)