Question

After drawing all the lines of symmetry in a regular polygon having ‘n’ sides, it is divided into _____ triangles.

• A. n/2
• B. n
• C. 2n
• D. 3n

Answer 1

The correct option is C

2n

If you take an equilateral triangle (regular polygon with 3 sides), it will be divided into 6 triangles after drawing all the lines of symmetry. A square gets divided into 8 triangles if all the lines of symmetry are drawn. This is shown in the figure.

So, a regular polygon with ‘n’ sides will be divided into ‘2n’ triangles when all the lines of symmetry are drawn.