Question

Describe any rotation less than 360 degrees that maps the polygon onto itself.

Answer 1

A rotation less than 360 degrees that maps a polygon onto itself is called a proper rotation. The possible rotations of a polygon depend on the number of sides it has.

Step-by-step explanation:

A rotation less than 360 degrees that maps a polygon onto itself is called a proper rotation. To find the possible rotations of a polygon, we need to consider the number of sides it has. Let's take some examples:

• A triangle (3 sides) can be rotated 120°, 240°, or 360° (which is equivalent to no rotation) to map onto itself.
• A square (4 sides) can be rotated 90°, 180°, 270°, or 360° to map onto itself.

Every equilateral polygon (a polygon with all sides equal) can be rotated by angles equal to multiples of 360° divided by the number of sides.