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Weekly Problem 31 - 2008
The flag is given a half turn anticlockwise about the point O and is then reflected in the dotted line. What is the final position of the flag?
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Problem

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?

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