Concept explainers
To find:Does the order in which you perform multiple dilations always, sometimes, never result in same image.
Answer to Problem 23HP
Order in which you perform multiple dilations always results in same image.
Explanation of Solution
Order in which you perform multiple dilations always results in same image.
Example:
Given
First dilation is
Multiply the coordinates of each vertex by
Again, on dilation with scale factor
We get
Again, on dilation with scale factor
We get
Again, on dilation with scale factor
We get
Therefore,
Coordinates after dilation are
Now,
Multiply the coordinates of each vertex by
Again, on dilation with scale factor
We get
Again, on dilation with scale factor
We get
Again, on dilation with scale factor
We get
Therefore,
Coordinates after dilation are
On comparing we can say that both images are same.
Chapter 11 Solutions
Glencoe Math Accelerated, Student Edition
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