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
Problem
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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.
Student Solutions
Answer:
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East/West:
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North-East/South-West:
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