https://file.aiquickdraw.com/mathbot/file/1730039712374esu1zss1.jpg

### Part a:
The figure shown is an eight-pointed star. Let's analyze the symmetries:

1. **Line Symmetry (Reflection Symmetry)**:
   The figure has line symmetry along each line that passes through opposite points of the star. This creates **8 lines of symmetry**:
   - 4 lines passing through each pair of opposing outer points.
   - 4 lines passing through each pair of opposing inner points.

2. **Rotational Symmetry**:
   The star has rotational symmetry of **45 degrees**. This means that rotating the figure by 45°, 90°, 135°, 180°, 225°, 270°, 315°, or 360° results in the same figure.

### Part b:
We are asked to find which shape has exactly **3 axes of symmetry**. Let's analyze each option:

- **Circle**: Infinite axes of symmetry.
- **Square**: 4 axes of symmetry.
- **Equilateral Triangle**: 3 axes of symmetry.
- **Isosceles Triangle**: 1 axis of symmetry (in most cases).

Therefore, the correct answer is **C. Equilateral Triangle**.

Would you like more details on any part of this solution or have additional questions?

### Follow-up Questions:
1. What is the difference between line symmetry and rotational symmetry?
2. Can an object have both line and rotational symmetry? Why or why not?
3. How would you find the number of axes of symmetry for polygons with more sides?
4. What are examples of everyday objects with line symmetry?
5. Why is rotational symmetry often measured in degrees?

### Tip:
To easily find rotational symmetry, divide 360° by the number of identical sections or rotations that result in the same figure.

Determine if the figure below has line (reflection) symmetry, and/or rotational symmetry, if any. If it has line symmetry, draw the lines. If it has rotational symmetry, write the angle of rotation. Which of the following shapes has exactly 3 axes of symmetry? (Options: Circle, Square, Equilateral Triangle, Isosceles Triangle)

This guide helps students understand line (reflection) and rotational symmetry using an example of an eight-pointed star. Learn how to determine the angle of rotation and identify shapes with specific axes of symmetry.

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