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texaschic101
little tip ** if u r going from a larger shape to a smaller shape, the scale factor is going to be a proper fraction....a number less then 1 but greater then 0

BC = 66......EF = 11.......66 times what is 11
66x = 11
x = 11/66 reduces to 1/6
so 66 * 1/6 = 11

now compare the other sides...
42 * 1/6 = 7.......looks like AC and DF
72 * 1/6 = 12...looks like Ab and DE

so ur multiplying every number in the big triangle by 1/6 , and getting the measures of the little triangle....so ur scale factor is 1/6 <==

The scale factor of from triangle ABC to triangle DEF will be  [tex]6[/tex] .

What is Scale Factor ?

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 DEF ,

From figure,

It is given that ,

In triangle ABC we have,

[tex]AB=72[/tex], [tex]BC=66[/tex], [tex]AC=42[/tex]

And,

In triangle DEF we have,

[tex]DE=12[/tex], [tex]EF=11[/tex], [tex]DF=7[/tex]

So,

According to question,

Scale factor [tex]=\frac{Change\ in\ size}{Original\ size}=\frac{AB}{DE}[/tex]

Scale factor [tex]=\frac{72}{12} =6[/tex]                    

And,

Scale factor [tex]=\frac{Change\ in\ size}{Original\ size}=\frac{BC}{EF}[/tex]

Scale factor [tex]=\frac{66}{11} =6[/tex]

Hence, we can say that the scale factor of from triangle ABC to triangle DEF is [tex]6[/tex] .

To learn more about scale factor click here

https://brainly.com/question/22312172

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