This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
A line of symmetry divides a figure into two identical halves. For a circle, any line that passes through its center will divide the circle into two congruent semicircles. Since there are infinitely many lines that can pass through the center of a circle, a circle has an infinite number of lines of symmetry. Let's evaluate the given options: A. No lines of symmetry: This is incorrect. B. Only 1 line of symmetry: This is incorrect. C. Finite lines of symmetry: This is incorrect, as "finite" implies a countable number. D. Four lines of symmetry: This is incorrect. E. Infinite lines of symmetry: This is correct. The correct option is E. E) Infinite lines of symmetry