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Straight Line Spin

Age 11 to 14 Short Challenge Level:

Draw a diagram which shows the graph of $y=x$ after it has been rotated $90^{\circ}$ clockwise about the point $(1,1)$.

If you liked this problem, here is an NRICH task that 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.