Geometry Transformations

A figure has rotational symmetry if it can be rotated around a point so that resulting figures match the original figure. The point around which you rotate is called the center of rotation, and the smallest angle you need to turn is called the angle of rotation. The number of positions a figure can be rotated to, without bringing in any changes to the way it looks originally, is called its Order of Rotational Symmetry.
A special type of rotational symmetry is point symmetry. A figure has point symmetry if it can be rotated 180º around a point to match the original figure. It looks the same upside down as right side up. How many degrees of rotational symmetry have the following polygons?
Following are facts about rotational symmetry:
Draw a figure with 45º of rotational symmetry.
