Question

The lines of symmetry of a regular polygon with $n$ sides divide the polygon into __ triangles.

• A. $\frac{n}{2}$
• B. $n$
• C. $2n$
• D. $3n$

Answer 1

The correct option is C

$2n$

The 3 lines of symmetry of an equilateral triangle (a regular polygon with 3 sides) divide it into 6 triangles.

The 4 lines of symmetry of a square (a regular polygon with 4 sides) divide it into 8 triangles.

Hence, a regular polygon with $n$ sides will be divided into $2n$ triangles when all its lines of symmetry are drawn.