Quick question: Can a pentagon have an axis of symmetry passing through two (one, none) of its vertices?
I'm given the following definition for axis of symmetry: A figure is said to have an axis of symmetry, $a$, if this figure is symmetric to itself about the line, $a$, i.e. if for any point of the figure the symmetric point also belongs to the figure.
Thanks in advance…
Best Answer
Hint: Suppose the line of symmetry passes through 1 (or 2, or 3) vertices. Where are all the vertices? Draw some pictures!