Question

Answer the following questions to summarize the rotations that carry a regular penagon onto itself. (4 points)
A regular pentagon can make
turns onto itself before coming around full circle. Each turn would be a multiple of
degrees.
Question 2
a. What are the degrees of the turns that will allow it to turn on itself?



b. Since a regular pentagon can make turns less than 360 degrees onto itself, it has what kind of symmetry?

(2 points)

Answer 1

To summarize the rotations that carry a regular pentagon onto itself:

**Question 1:**
A regular pentagon can make **5** turns onto itself before coming around full circle. Each turn would be a multiple of **72** degrees.

**Question 2:**
a. The degrees of the turns that will allow it to turn on itself are:
- **0 degrees** (identity rotation)
- **72 degrees** (one vertex to the next)
- **144 degrees** (two vertices to the next)
- **216 degrees** (three vertices to the next)
- **288 degrees** (four vertices to the next)

b. Since a regular pentagon can make turns less than 360 degrees onto itself, it has **rotational symmetry**.