Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**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 \(( [ \_\_ ] , [ \_\_ ] )\).
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