Question

Directions: Select all the correct answers. Polygon ABCDEF is a regular polygon. If point O is located at the center of the polygon, what degree of rotation about point O will carry the polygon onto itself? 360° 60° 225° 90° 720° 300°

Answer 1

Polygon ABCDEF is a regular polygon,
Since there are 6 vertices it must be a hexagon with six sides.
Each side of the hexagon makes an angle of 360 / 6 = 60 degrees at the center O.
So if you rotate the hexagon 60 degrees about the center, the first side will exactly coincide with the second side and the polygon will map onto itself.
60 is the minimum angle. But rotation by any multiple of 60 degrees will also map the hexagon onto itself. So 360, 60, 720, 300 will all work. But the minimum is 60 degrees.

Answer 2

Thank you!!!

Answer 3

You are welcome.