Maths Olympiad Prep

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Geometry Difficulty 2.3 Junior Find the answer Canada

A square piece of paper has a dot in its top right corner and is lying on a table. The square is folded along its diagonal, then rotated 9090^\circ clockwise about its centre, and then finally unfolded, as shown.

Figure 0

The resulting figure is

Pick one

Solution

We draw an unshaded dot to represent the location of the dot when it is on the other side of the sheet of paper being shown. Therefore, the dot moves as follows:

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.