Question

The blue shape is a dilation of the black shape. What is the scale factor of the dilation?

Answer 1

the asnwer is 5

Explanation:

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Answer 2

We are going to evaluate a vertex of both forms.
blue shape:
(-5.10)
black shape:
(-1,2)
As one figure is the dilatation of another then:
k (-1,2) = (- 5,10)
From here we know:
-k = -5
Equivalently:
2k = 10
Where we conclude:
k = 5
Answer:
The scale factor of the dilation is:
k = 5