Triangle ABC is dilated to create triangle A'B'C' using point O as the center of dilation. What is the scale factor of the dilation?
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The scale factor of from triangle ABC to triangle A'B'C' is [tex]3[/tex] .
Scale Factor is defined as the ratio of size of new image formed to the size of old image.
We have,
Triangle ABC and triangle A'B'C' ,
From figure,
It is given that ,
In triangle ABC we have,
[tex]A(0,3)[/tex]
And,
In triangle A'B'C' we have,
[tex]A'(0,9)[/tex]
So, according to question,
Scale factor [tex]=\frac{Change\ in\ position}{Original\ position}[/tex]
[tex]=\frac{9}{3}[/tex]
Scale factor [tex]=3[/tex]
Hence, we can say that the scale factor of from triangle ABC to triangle A'B'C' is [tex]3[/tex].
To learn more about scale factor click here
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