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Sagot :
Dilation involves enlarging or reducing the size of a shape.
The scale factor of dilation is 1/6
From the complete question, the side lengths of corresponding sides of both triangles are:
[tex]AC =18cm[/tex]
[tex]AC' =3cm[/tex]
This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.
So, the scale factor of dilation from the larger triangle to the smaller triangle is:
[tex]k = \frac{AC'}{AC}[/tex]
This gives
[tex]k = \frac{3cm}{18cm}[/tex]
Remove the common units
[tex]k = \frac{3}{18}[/tex]
Reduce fraction
[tex]k = \frac 16[/tex]
Hence, the scale factor of dilation is 1/6
Read more about dilation at:
https://brainly.com/question/3457976
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