what is a figure that has only rotational symmetry?
and what is its angle of rotation?
A figure that has only rotational symmetry is a figure that can be rotated by a certain angle and still look the same. In other words, it is an object that looks identical after being rotated by a certain amount.
To determine the angle of rotation for a figure with rotational symmetry, you should follow these steps:
1. Start by identifying a figure that you suspect may have rotational symmetry. Examples could include regular polygons, such as squares or equilateral triangles, and certain shapes found in nature, like a starfish or sunflower.
2. Begin by selecting a point on the figure as the center of rotation. This point should be a fixed point that does not move during the rotation.
3. Rotate the figure counterclockwise around the center of rotation by an angle of rotation (θ).
4. Observe if the figure looks exactly the same after the rotation has been made. If it does, then the figure has rotational symmetry.
5. Measure the angle between the initial position of a specific point on the figure and its final position after rotation. This angle represents the angle of rotation for the figure.
6. This angle of rotation will vary depending on the figure. For example, a square has rotational symmetry with an angle of rotation of 90 degrees, while a regular hexagon has an angle of rotation of 60 degrees.
It is important to note that the angle of rotation can be any positive value, but it will usually be a value that allows the figure to appear identical after being rotated.
maybe a swastika, with an angle of 90 degrees
Or the letter S, with a 180 degree angle