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?. A) any line passing through the center of the polygon

B) any perpendicular bisector of one of the sides

C) any line joining the midpoints of any two sides

D) any line parallel to a side of the polygon

Respuesta :

The set of lines that Fiona can choose from for her line of reflection is B) any perpendicular bisector of one of the sides. 
The answer is "B) any perpendicular bisector of one of the sides".

We can define a line of reflection as the line in which a shape is reflected, or we can say that it is the mirror in which the shape is reflected. The line of reflection is the perpendicular bisector of any pair of corresponding points. If you want to join sets of corresponding points on the object and image, then the line of reflection will slice the lines framed down the middle.