Assume the following patterns continue in both directions. Which of these patterns has a rotation isometry?
A) I only
B) II only
C) both I and II
D) neither pattern

Question

Assume the following patterns continue in both directions. Which of these patterns has a rotation isometry? 
A) I only 
B) II only 
C) both I and II 
D) neither pattern

Quizplus · Accepted Answer

Pattern I has reflectional symmetry but does not have rotational symmetry because there is no way to rotate the pattern and have it look exactly the same. 
Pattern II has rotational symmetry because you can rotate the pattern 120 degrees counterclockwise and it will look exactly the same.

Assume the Following Patterns Continue in Both Directions