A circle has how many lines of symmetry

Options

A. no line symmetry
B. one line symmetry
C. two line symmetry
D. an unlimited number of lines of symmetry

Answer

To determine how many lines of symmetry a circle has, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Symmetry**:
- Symmetry in a shape means that if you draw a line through the shape, the two halves on either side of the line are mirror images of each other.

2. **Identifying Lines of Symmetry in a Circle**:
- A circle is a perfectly round shape where every point on the circumference is equidistant from the center.

3. **Drawing Lines of Symmetry**:
- You can draw a line through the center of the circle to any point on the circumference. This line will divide the circle into two equal halves.

4. **Infinite Possibilities**:
- Since you can draw a line through the center to any angle (360 degrees), there are infinitely many lines that can be drawn.

5. **Conclusion**:
- Therefore, a circle has an infinite number of lines of symmetry.

### Final Answer:
A circle has infinite lines of symmetry.

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