Answer the following questions to summarize the rotations that carry a regular penagon onto itself. (4 points)

Question

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?

Answer 1

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

1. A regular pentagon can make 5 turns onto itself before coming around full circle. Each turn would be a multiple of 72 degrees (since 360 degrees divided by 5 equals 72 degrees).

Question 2 a. The degrees of the turns that will allow it to turn on itself are: 0 degrees, 72 degrees, 144 degrees, 216 degrees, and 288 degrees.

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