examday

/TMUA

Consider the following statements:

• (1) Not every polygon whose angles are all equal is regular.
• (2) For some $n\ge3$, every $n$-sided polygon whose vertices all lie on a circle is regular.
• (3) For all $n$ (where $n$ can take any value in $\{1,2,3,4\}$), there exists a hexagon with exactly $n$ lines of symmetry.

Which one of the following is/are true?