3 A transformation that includes two similar figures is called an isometry. O True False

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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A transformation that includes two similar figures is called isometry. True or False
### Understanding Isometry

**Question:**
A transformation that includes two similar figures is called an isometry.

- ○ True 
- ○ False

### Explanation:

In mathematics, especially in geometry, an **isometry** is a transformation that preserves distances between figures. This means that if two figures are isometric, they are congruent to each other, maintaining the same shape and size. However, the question mentions "similar figures." Similar figures have the same shape but not necessarily the same size. Therefore, the correct answer is **False**. 

**Key Points:**
- **Isometry**: Transforms figures while preserving distances and angles, resulting in congruent figures.
- **Similarity**: Involves figures that have the same shape but may differ in size. 

### Answer:

- ○ True
- ● False
Transcribed Image Text:### Understanding Isometry **Question:** A transformation that includes two similar figures is called an isometry. - ○ True - ○ False ### Explanation: In mathematics, especially in geometry, an **isometry** is a transformation that preserves distances between figures. This means that if two figures are isometric, they are congruent to each other, maintaining the same shape and size. However, the question mentions "similar figures." Similar figures have the same shape but not necessarily the same size. Therefore, the correct answer is **False**. **Key Points:** - **Isometry**: Transforms figures while preserving distances and angles, resulting in congruent figures. - **Similarity**: Involves figures that have the same shape but may differ in size. ### Answer: - ○ True - ● False
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