The single dilation of the shape is a dilation by a scale factor of 1.5 with center R
How to determine the dilation rule?
From the graph, we have the center of dilation to be point R.
This is so because R = R'
Also, we have:
R = (-1, -4)
S = (2, 0)
S' = (3.5, 2)
Calculate the distance RS and RS' using
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
This gives
[tex]RS = \sqrt{(0 + 4)^2 + (2+ 1)^2} = 5[/tex]
[tex]RS' = \sqrt{(2 + 4)^2 + (3.5+ 1)^2} = 7.5[/tex]
Divide RS' by RS to determine the scale factor (k)
k = 7.5/5
k = 1.5
Hence, the single dilation of the shape is a dilation by a scale factor of 1.5 across point R
Read more about dilation at:
https://brainly.com/question/13176891
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