how can you tell the fraction and the angle measure of rotational symmetry in an octogon. i need the smallest turn that matches the original figure
hope i made sense!!!
Absolutely! To determine the fraction and angle measure of rotational symmetry in an octagon, you can follow these steps:
1. Understand rotational symmetry: Rotational symmetry is a property of a figure that looks the same after rotating it around a fixed point by a certain angle. The smallest angle that matches the original figure is called the angle of rotational symmetry.
2. Identify the shape: In this case, we have an octagon - a polygon with eight sides.
3. Determine the fraction of rotational symmetry: The fraction of rotational symmetry is determined by dividing the full rotation (360 degrees) by the angle of rotational symmetry. Since the problem asks for the smallest turn that matches the original figure, we need to determine the angle of rotational symmetry that is less than or equal to 360 degrees.
4. Calculate the angle of rotational symmetry: Divide 360 degrees by the number of sides in the octagon. In this case, 360 divided by 8 (the number of sides) equals 45 degrees.
5. Determine the fraction: The fraction of rotational symmetry is then calculated by dividing the full rotation (360 degrees) by the angle of rotational symmetry. So, 360 divided by 45 equals 8/1, or simply 8.
Therefore, the fraction of rotational symmetry for an octagon is 8/1, and the angle measure for the smallest turn that matches the original figure is 45 degrees.