Question

Fiona is drawing polygons on a computer. She wants to map a regular 9-sided polygon back onto itself using a reflection. Which set of lines can Fiona choose from for her line of reflection?

Answer 1

first look at simpler cases. when n is odd and when n is even

Answer 2

n odd, the easiest case is a triangle
n even, the easiest case is a square.

Answer 3

when n is odd, since the vertices are not opposite to each other, the number of reflections is n

Answer 4

also when n is even

Answer 5

Fiona is drawing polygons on a computer. She wants to map a regular 9-sided polygon back onto itself using a reflection. Which set of lines can Fiona choose from for her line of reflection?
•
any line passing through the center of the polygon
•
any perpendicular bisector of one of the sides
•
any line joining the midpoints of any two sides
•
any line parallel to a side of the polygon

Answer 6

these are the choices given, which one does it match. lets look at the simplest case, an equilateral triangle