Question

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

a. 30
b. 45
c. 60
d. 90
e. 120
f. 135
g. 180
(from unit 1, lesson 16.)

Explanation:

Step1: Determine the number of petals

The flower has 6 petals.

Step2: Calculate the angle of rotation for symmetry

The formula for the angle of rotation for symmetry is $\frac{360^{\circ}}{n}$, where $n$ is the number of petals. So, $\frac{360^{\circ}}{6} = 60^{\circ}$.

Step3: Find other angles of rotation

Other angles of rotation that produce symmetry are multiples of $60^{\circ}$. So, $120^{\circ}$ ($60^{\circ}\times2$), $180^{\circ}$ ($60^{\circ}\times3$) also produce symmetry.

Answer:

C. 60, E. 120, G. 180