Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.5: Reflections And Symmetry
Problem 1E
Related questions
Question
![**Reflecting a Point in the Coordinate Plane**
In this lesson, we are going to learn how to reflect a point in the coordinate plane. Specifically, we will reflect the point \((0, -2)\) in the x-axis and then in the y-axis.
**Step-by-Step Reflection**
1. **Reflecting in the x-axis**:
- When you reflect a point across the x-axis, the y-coordinate changes sign, while the x-coordinate remains the same.
- For the point \((0, -2)\), reflecting in the x-axis will change the point to \((0, 2)\).
2. **Reflecting in the y-axis**:
- When you reflect a point across the y-axis, the x-coordinate changes sign, while the y-coordinate remains the same.
- For the point \((0, 2)\), reflecting in the y-axis will change the point to \((0, 2)\).
In conclusion:
\((0, -2)\) reflected in the x-axis followed by the y-axis is \((0, 2)\).
**Practice Exercise**
Reflect \((0, -2)\) in the x-axis followed by the y-axis.
Answer:
\((0, -2)\) reflected in the x-axis followed by the y-axis is \(( [ \_\_ ] , [ \_\_ ] )\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30bdf69a-5e43-4af6-934f-6942f4d9b3cd%2F296d15a8-3bd6-45f1-ab12-97156ad0e12c%2F791gu3t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Reflecting a Point in the Coordinate Plane**
In this lesson, we are going to learn how to reflect a point in the coordinate plane. Specifically, we will reflect the point \((0, -2)\) in the x-axis and then in the y-axis.
**Step-by-Step Reflection**
1. **Reflecting in the x-axis**:
- When you reflect a point across the x-axis, the y-coordinate changes sign, while the x-coordinate remains the same.
- For the point \((0, -2)\), reflecting in the x-axis will change the point to \((0, 2)\).
2. **Reflecting in the y-axis**:
- When you reflect a point across the y-axis, the x-coordinate changes sign, while the y-coordinate remains the same.
- For the point \((0, 2)\), reflecting in the y-axis will change the point to \((0, 2)\).
In conclusion:
\((0, -2)\) reflected in the x-axis followed by the y-axis is \((0, 2)\).
**Practice Exercise**
Reflect \((0, -2)\) in the x-axis followed by the y-axis.
Answer:
\((0, -2)\) reflected in the x-axis followed by the y-axis is \(( [ \_\_ ] , [ \_\_ ] )\).
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![PREALGEBRA](https://www.bartleby.com/isbn_cover_images/9781938168994/9781938168994_smallCoverImage.gif)
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![PREALGEBRA](https://www.bartleby.com/isbn_cover_images/9781938168994/9781938168994_smallCoverImage.gif)
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Algebra and Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage