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You should have noticed a pattern in how many rotational symmetries each regular polygon had. If you didn't you may want to go back and check your work!

5. How does the number of rotational symmetries compare to the number of sides a regular polygon has?

6. Point symmetry means a shape has 180 degree rotational symmetry.  Which of the previous shapes had rotational symmetry? 

7. Will a regular polygon with an even number of sides have point symmetry?  Will a regular polygon with an odd number of sides have point symmetry?  Explain. 

8. A full revolution is 360 degrees.  A triangle had 3 rotational symmetries.  360/3 = 120, which was the first angle measurement where the triangles overlapped.  Does this pattern work for the square and hexagon?  Show your work.

Use the patterns from questions 5 and 6 to answer the following questions.

9. How many rotational symmetries would a 10 sided regular polygon have?

10. What would be the measurement in degrees for the first rotational angle measurement for the 10 sided regular polygon?