Respuesta :
Answer:
The scale factor is 1/4
Step-by-step explanation:
Here, we are interested in finding the scale factor that helped convert the first point to the second.
Hence, what turned (8,12) to (2,3)
What we shall do here is to simply divide term 2 by term i.e
That would be 2/8 or 3/12 = 1/4
The scale factor was 1/4.
Given that,
The point (8, 12) was dilated to become point (2, 3).
We have to determine,
What was the scale factor?
According to the question,
Scale factors are closely related to the concepts of ratio and proportions.
In ratio and proportions, we multiply or divide a given amount to form a new quantity.
The point (8, 12) was dilated to become point (2, 3).
Therefore,
The scale factor was,
[tex]\rm Scale\ factor = \dfrac{New \ point \ lies \ on \ axis}{Old \ point \ lies \ on \ axis}[/tex]
Substitute the points in the formula for the x-axis,
[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ x-axis}{Old \ point \ lies \ on \ x-axis}\\\\Scale\ factor = \dfrac{2}{8}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]
And substitute the points in the formula for the y-axis,
[tex]\rm \rm Scale\ factor = \dfrac{New \ point \ lies \ on \ y-axis}{Old \ point \ lies \ on \ y-axis}\\\\Scale\ factor = \dfrac{3}{12}\\\\Scale\ factor = \dfrac{1}{4}\\\\[/tex]
Hence, The scale factor was 1/4.
For more details refer to the link given below.
https://brainly.com/question/8765466
