Question

Select all the angles of rotation that produce symmetry for this flower.

Answer 1

Angles of rotation that produce symmetry are the angles that we can rotate the image, and the end result will be the starting image. (the angles are always measured from the x-axis)

Here we can clearly see that in each quadrant we have a petal of the flower.

Then the angles that change one quadrant into other quadrant will produce symmetry.

Those angles are:

90°, 180°, 270°, 360°, etc.

We can define the set of those angles as:

A {n*90° I n ∈ Z}