Tutorial to explore the rotation symmetry of geometric shapes. However, an introduction to rotation symmetry of regular polygonsmight be useful before starting the tutorial.

Interactive Tutorial

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1 - Press the button above to start the applet.

2 - Press "enter" to change the shape to explore.

3 - Use the top slider to rotate the shape around the origin of the system of axes. Is there any rotational symmetry? If yes what is the smallest angle for which the shape to be explored is in the same position after rotation? What are the other angles that give same position?