Question

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

A) 90 degrees
B) 180 degrees
C) 270 degrees
D) 360 degrees

Answer 1

The angles of rotation that produce symmetry for a flower depend on the number of petals. For a flower with 4 petals, the symmetrical angles of rotation would be 90 degrees, 180 degrees, and 360 degrees.

Step-by-step explanation:

To determine the angles of rotation that produce symmetry for a flower, we should consider the number of petals and their arrangement. If a flower has n petals, it will have n-fold rotational symmetry, meaning that it can be rotated by 360 degrees / n and still look the same. For example, if a flower has 4 petals arranged symmetrically, it will have rotational symmetry at 90 degrees (360/4), 180 degrees (360/2), and 360 degrees (a full rotation). Conversely, it would not have symmetry at 270 degrees as it does not divide evenly into 360 degrees for this flower. Thus, for a four-petaled flower, the angles that produce symmetry would be 90 degrees, 180 degrees, and 360 degrees.