How many lines of symmetry does a regular polygon with 32 sides have?

? thanks

A square has 4 lines of symmetry.
A regular hexagon has 6 lines of symmetry.
A regular polygon with 32 sides would have 32 lines of symmetry.

16

32.
One bisecting each pair of opposite side, that’s 16.
One bisecting each pair of opposite internal angles, that’s 16.
That method works for regular polygons with an even number of sides. But for odd numbers, either:
One bisecting each side.
OR
One bisecting each internal angle.
These are equivalent because each line of symmetry bisects one face and the opposite internal angle.
In any case, for regular polygons, the number of sides equals the number of lines of symmetry.

32
… I know this seem simplistic, but try if with a 3-gon (equilateral triangle) and you get “3”
and a4-gon (square) you get 4 …
the pattern is too compelling to ignore

• Author
• Recent Posts

Answer Prime

This is the collective voice of the talented editorial team at Answerprime.com. Committed to delivering high-quality content, this account represents the collaborative efforts of knowledgeable experts. With a passion for research and a dedication to accuracy, Answerprime brings you insightful articles across various subjects. Explore a diverse range of expertise and perspectives curated by the editorial team through the lens of Answerprime.

Latest posts by Answer Prime (see all)

• Get Rid of Head Lice Today: Seeking Help From Professional Services - March 28, 2026
• How to Increase Productivity When Managing a Remote Team - March 25, 2026
• From Announcements to Community: How Digital Signage Is Changing School Campuses - March 25, 2026