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
answer asap
![### Transformation and Mapping in Coordinate Geometry
In the diagram, \(\triangle A'B'C'\) is an image of \(\triangle ABC\). Write the algebraic description for the transformation.
#### Diagram Explanation:
The graph shows a coordinate plane with two triangles:
- **\(\triangle ABC\):** The original triangle with points labeled \(A\), \(B\), and \(C\).
- **\(\triangle A'B'C'\):** The transformed triangle with points labeled \(A'\), \(B'\), and \(C'\).
Both triangles are plotted on the same grid.
#### Algebraic Description:
The transformation can be described using a mapping function.
1. **For x-coordinates:**
\[
\LaTeX: \left(x, y \right) \longrightarrow (x + 5, y + 3)
\]
2. **For y-coordinates:**
\[
y = \LaTeX: f(x) \]
(where \(f(x)\) defines the function of transformation for the y-values, typically providing context for vertical shifts or stretches.)
The transformation shifts \(\triangle ABC\) by 5 units to the right and 3 units up to become \(\triangle A'B'C'\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b721529-bc67-4951-a87a-acedcac776d1%2F757c08dc-5d93-488f-b522-e1939818e552%2F2utiybs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Transformation and Mapping in Coordinate Geometry
In the diagram, \(\triangle A'B'C'\) is an image of \(\triangle ABC\). Write the algebraic description for the transformation.
#### Diagram Explanation:
The graph shows a coordinate plane with two triangles:
- **\(\triangle ABC\):** The original triangle with points labeled \(A\), \(B\), and \(C\).
- **\(\triangle A'B'C'\):** The transformed triangle with points labeled \(A'\), \(B'\), and \(C'\).
Both triangles are plotted on the same grid.
#### Algebraic Description:
The transformation can be described using a mapping function.
1. **For x-coordinates:**
\[
\LaTeX: \left(x, y \right) \longrightarrow (x + 5, y + 3)
\]
2. **For y-coordinates:**
\[
y = \LaTeX: f(x) \]
(where \(f(x)\) defines the function of transformation for the y-values, typically providing context for vertical shifts or stretches.)
The transformation shifts \(\triangle ABC\) by 5 units to the right and 3 units up to become \(\triangle A'B'C'\).
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 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.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