Question

Alexa used her compass to evenly divide the circumference of the circle below.

Which regular polygons can be constructed from the construction Select all that apply.

Answer 1

• triangle
• square
• hexagon
• dodecagon

Explanation:

The 12 points marked can be divided into this many equal-size groups:

3, 4, 6, 12

so the figures that can be constructed are ...

• triangle . . . . connects every 4th mark
• square . . . . . connects every 3rd mark
• hexagon . . . .connects every other mark
• dodecagon . . connects every mark

_____

12 is also divisible by 1 and 2, but the minimum number of vertices in a regular polygon is 3.