How many sides has a regular polygon showing rotational symmetry if is angle of rotation is 9degree.
Answers
Answer:hints
Step-by-step explanation:
In symmetry theory, we label a rotation axis with the letter c and we follow that by a number indicating the number of stops we can make in our 360º rotation around the c axis such that at each stop, the image looks like the original. Thus, if the regular polygon has three sides (a triangle) then the axis would go through the centre of the triangle, perpendicular to the plane of the triangle. It would be a c3 axis because we could rotate and stop 3 times around the full circle, each time, our triangle would look like it did at the start. if you want the angle of rotation, then just divide 360 by 3, the number of stops in this example. if you’re looking at a square, then you have a c4 axis and divide 360/4, a pentagon would have a c5 axis and the angle would be 360/5, etc.