A. How many lines of symmetry does a regular polygon have?

B. Give a rule for the number of lines of symmetry in a regular polygon. In two or more complete sentences, justify the rule.

Question

A.	How many lines of symmetry does a regular polygon have?

B.	Give a rule for the number of lines of symmetry in a regular polygon. In two or more complete sentences, justify the rule.

campbell_st · Answer

well set up a table 

polygon                               sides                  lines of symmetry

equilateral triangle                  3                                  ?
Square                                     4                                 ??
Pentagon                                  5                                ???
hexagon                                   6                                ????

keep going and you'll see the pattern and get the rule

anonymous · Answer

is it 2,4,6,8 for the lines of symmetry? @campbell_st

campbell_st · Answer

no...

afrodiddle · Answer

Well let's began with you telling me "what is a regular polygon?"

anonymous · Answer

wouldn't it be the same exact thing then 3, 4, 5, 6 ? @campbell_st

afrodiddle · Answer

Yes, do you know why?

anonymous · Answer

because all sides and angles are equal?? @Afrodiddle

afrodiddle · Answer

Yes.

campbell_st · Answer

well you can check it with the equilateral triangle and square, but you're correct

anonymous · Answer

thanks guys :) @campbell_st @Afrodiddle