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Flagged Up
Age 11 to 14
ShortChallenge Level 
The flag is given a half-turn anticlockwise about the origin $(0,0)$ and is then reflected in the dotted line.
What is the final position of the flag?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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