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
SectionP.CT: Test
Problem 1CT
Related questions
Question
A transformation that includes two similar figures is called isometry. True or 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
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps

Recommended textbooks for you

Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,

Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning

Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,

Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning