Concept explainers
To prove: The Theorem
Explanation of Solution
Given information: The dilation is
Proof:
A transformation related to similarity rather than congruence is called dilation. The dilation
The dilation
(1) If
(2) If
(3) The center
The dilation is called an expansion for
Consider a point
Thus,
And,
And
As under the dilation the triangle should be similar therefore, the point
The equation of the line
As the point
Simplify further.
Put the value of
So, the coordinates of the point
Hence, the Theorem
Chapter 14 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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