https://file.aiquickdraw.com/mathbot/file/1729646263723dsrqbwsj.jpg

The image shows a five-pointed star, and the question asks about its order of rotation and angle of rotation. 

- **Order of rotation** refers to the number of times the shape looks identical during a full 360° rotation. 
- **Angle of rotation** is the smallest angle by which the shape can be rotated to appear the same.

For a five-pointed star:

1. **Order of rotation**: Since the star has 5 points and looks identical at each 72° (since \( \frac{360°}{5} = 72° \)), the **order of rotation is 5**.
2. **Angle of rotation**: The smallest angle for which the star looks the same is **72°**.

Thus, the correct answer is **Order = 5, 72°**.

Do you want more details on rotational symmetry, or have any questions?

Here are 5 related questions:
1. How is rotational symmetry related to reflection symmetry?
2. Can a shape have rotational symmetry but not reflection symmetry?
3. What are the properties of polygons with rotational symmetry?
4. How can you calculate the angle of rotation for any regular polygon?
5. What are examples of objects with rotational symmetry in real life?

**Tip**: The smaller the angle of rotation, the higher the symmetry order of a shape.

What order of rotation and angle of rotation does the picture have?

Discover how to calculate the order and angle of rotation for a five-pointed star, covering rotational symmetry and geometric transformations. Suitable for Grades 6-8, with a focus on visualizing and understanding geometric properties.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation