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?
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?
Answers
GPT-4o mini
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**.
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**.