Question

The figure above shows the design of a circular stained-glass panel . The 2 squares shown are inscribed in the circle. All red triangular pieces shown are congruent and have a common vertex with each adjoining triangular piece. The diameter of the panel is 2 feet.
Find the number of lines of symmetry in the design of the stained-glass panel.

• A. 2
• B. 4
• C. 8
• D. 16
• E. Infinitely many

Answer 1

The correct option is C 8

If a figure is rotated by ${45}^o$ $({\frac{1}{8}}^{th}$ of ${360}^o)$ ,then it exactly fits its own outline.

Therefore given figure has rotational symmetry of order $8$.