Suppose a wallpaper whose smallest rotation is 90° has reflection lines that intersect at 90° angles. Use the flowchart in the textbook to find the standard notation for the pattern.
A) p4m
B) p4g
C) p4
D) pmm

Question

Quizplus · Accepted Answer

Since the smallest rotation is 90°, it suggests that the pattern has a 4-fold rotational symmetry. Moreover, the reflection lines intersect at 90° angles which indicates that there are no glide reflections present. Therefore, according to the flowchart in the textbook, the standard notation for the pattern is p4.

Suppose a Wallpaper Whose Smallest Rotation Is 90° Has Reflection