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To find: The coordinates of the center
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Answer to Problem 27WE
The coordinates of the center
Explanation of Solution
Given information: The point
Calculation:
If transformation is related to similarity rather than congruence is known as dilation. The dilation
The dilation
(1) If
(2) If
(3) The center
For
So,
The formula to find the distance between two points
The distance between point A and B is:
The distance between point
Now, substitute the values in
It is given that the center is
The distance between point O and A is:
The distance between point O and
Now,
The distance between point O and B is:
The distance between point O and
Now,
Compare equation (1) and (2), then solve as:
Substitute 2 for b in the equation (2).
Simplify further.
Therefore, the coordinates of the center
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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