Question
The lines of symmetry of a regular polygon with n sides divide the polygon into __ triangles.
Answer: Option C
:
C
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C
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.
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