Which angle of rotation is an angle of rotational symmetry for all figures? 45° 90° 180° 360°

360° is an angle of rotational symmetry for all figures

Rotational symmetry, is the property a shape when it looks the same after some rotation by a partial turn.

The rotational symmetry order of a geometric figure is the number of times you can rotate the geometric figure, so that its looks exactly the same as the original figure. We can only rotate the figure up to 360 degrees.

A rotational symmetry of order 1 is where the shape will look like its original only once after you rotated the shape 360 degrees. The picture below is the example of a rotational symmetry of order 1. In rotational symmetry of order 1, you cannot get the original arrow until you rotated the arrow 360 degrees.

Another example, we rotated a rectangle 90 degrees each time. Notice that we were able to get the original shape twice. The first time we got the original image, we got it with a rotation of 180 degrees and second time, we got it with a rotation of 360 degrees. In rotational symmetry of order 2, we are able to return the original shape of rectangle 2 times.

Next example is about rotational symmetry of  order 6, each 60 degrees rotation returns the original shape.

Therefore, 360° is an angle of rotational symmetry for all figures (all order of rotational symmetry)

Grade:  9

Subject:  mathematics

Chapter:  rotational symmetry

Keywords: rotational symmetry

okay wait before i answer, is this for your points on a graph?

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step-by-step explanation: