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(a)
To find: The mapping is one-to-one mapping.
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 14WE
The mapping is one-to-one mapping.
Explanation of Solution
Given information:
The given diagram is shown below.
Calculation:
It is shown that every point of the red square has only one image on the blue square therefore, it is a one-to-one mapping
Therefore, the mapping is one-to-one mapping.
(b)
To find: The diagram and locate a point
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 14WE
The only point the center
Explanation of Solution
Given information:
The given diagram is shown below.
Calculation:
There is only one point, the center
Therefore, the only point the center
(c)
To find: Two points
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 14WE
There is no segment lie on the square.
Explanation of Solution
Given information:
The given diagram is shown below.
Calculation:
As it is one-to-one mapping, therefore there is no segment lie on the square which differs in
length with its image.
Therefore, there is no segment lie on the square.
(d)
To find: The mapping preserve distance.
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 14WE
The mapping preserve distance.
Explanation of Solution
Given information:
The given diagram is shown below.
Calculation:
As it is one-to-one mapping, therefore there is no segment lie on the square which differs in
length with its image.
Therefore, the mapping preserve distance.
(e)
To find: A mapping from the red square on to the blue square that does preserve distance.
(e)
![Check Mark](/static/check-mark.png)
Answer to Problem 14WE
The mapping preserve distance.
Explanation of Solution
Given information:
The given diagram is shown below.
Calculation:
Consider the length between two points on the diagonal vertices of the red square. The image of segment will have same length when it will lie on the blue square.
Therefore, the mapping preserve distance.
Chapter 14 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
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