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PQR has vertices at P(2, 4), Q(3, 8) and R(5, 4). A dilation and series of translations map PQR to ABC, whose vertices are A(2, 4), B(5.5, 18), and C(12.5, 4). What is the scale factor of the dilation in the similarity transformation?

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Astute
Hey there,

Your question states: PQR has vertices at P(2, 4), Q(3, 8) and R(5, 4). A dilation and series of translations map PQR to ABC, whose vertices are A(2, 4), B(5.5, 18), and C(12.5, 4). What is the scale factor of the dilation in the similarity transformation?

We are going to figure out:  What is the scale factor of the dilation in the similarity transformation?

The distance between [tex]PQ[/tex] is just about 4. And for [tex]AB[/tex] it's 14. 

So we do 4÷14 which would give us 3.5

[tex]\boxed{3.5}[/tex] would be your correct answer.

Hope this helps.

~Jurgen

Answer:

3.5

Step-by-step explanation:

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