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How many lines of symmetry does a circle have?
Mathematics
ScanSolve AI Answer
Answer
E
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
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