alleryIf a regular n-gon is constructible, which other polygon is also constructible?
AThe regular (n+1)-gon
BThe regular 2n-gon
CThe regular (n-1)-gon
DThe regular 3n-gon
Answer & Solution
Correct answer: B. The regular 2n-gon
1. Bisecting the central angles of an n-gon gives a polygon with twice the sides.
2. So a constructible n-gon gives a constructible 2n-gon.
3. Repeating this gives 4n, 8n and so on.
_Source: Wikipedia, Straightedge and compass construction, section Constructing regular polygons_
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