https://file.aiquickdraw.com/mathbot/file/172895739855948hwmkxg.jpg

Let's analyze Question 6 based on the triangle shown:

### Question 6
#### 1. **Lines of Symmetry**:
   For an equilateral triangle, there are **3 lines of symmetry**. These lines of symmetry are each drawn from a vertex to the midpoint of the opposite side.

#### 2. **Rotational Symmetry**:
   An equilateral triangle has **3 instances of rotational symmetry**. This means that it can be rotated three times around its center by certain angles and still look the same.

#### 3. **Angle of Rotational Symmetry**:
   The angle of rotational symmetry for an equilateral triangle is calculated by dividing \(360^\circ\) by the number of rotations. So,
   \[
   \text{Angle of Rotational Symmetry} = \frac{360^\circ}{3} = 120^\circ
   \]

### Summary:
- **Lines of Symmetry**: 3
- **Rotational Symmetry Instances**: 3
- **Angle of Rotational Symmetry**: \(120^\circ\)

Would you like additional details on these symmetry concepts?

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Here are some related questions to further explore this topic:

1. How many lines of symmetry does a square have, and what is its angle of rotational symmetry?
2. What is the difference between rotational symmetry and reflectional symmetry?
3. Can an isosceles triangle have rotational symmetry? Why or why not?
4. How many lines of symmetry would a regular hexagon have?
5. What is the maximum angle of rotational symmetry for a regular pentagon?

**Tip:** When finding rotational symmetry, remember that it depends on the number of equal segments the shape can be divided into from its center. This is why regular polygons with \( n \) sides have \( n \) instances of rotational symmetry.

How many lines of symmetry does this shape have? How many rotational symmetries does this shape have? What is the angle of rotational symmetry? (For an equilateral triangle)

Learn about the symmetry properties of equilateral triangles, including lines of symmetry and rotational symmetry. Understand how to calculate the angle of rotational symmetry, with step-by-step explanations for students in Grades 6-8.

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