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(a)
To verify: The result
(a)
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Explanation of Solution
Given information: The given mapping is
Calculation:
A segment joining the midpoints of two sides of a
The mid-segment of line
Therefore, it is verified that
(b)
To find: Whether the result
(b)
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Answer to Problem 28WE
The result
Explanation of Solution
Given information: Consider another point
Calculation:
A segment joining the midpoints of two sides of a triangle called as the mid-segment of a triangle. According to this theorem, the mid-segment of a triangle joins the midpoints of two sides of a triangle are such a manner that its length is half the length of the third sides of the triangle.
Consider another point
Therefore, it is verified that
(c)
To find: Whether
(c)
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Answer to Problem 28WE
The measure of
Explanation of Solution
Consider the following figure.
As the figure show that the composite of two given half-turns is a translation and translation is an isometry.
Therefore, the measure of
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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