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AAST is dilated about the origin o to create ARST. Point Ris located at (3.9) and point R’ is
located at(1.2.3.6). Which scale factor was used to perform the dilation?

Respuesta :

Ashraf82

The scale factor which used to perform the dilation was 0.4

Step-by-step explanation:

If point (x , y) is dilated about the origin by a scale factor k, then

  • Its image is point (kx , ky)
  • If k > 1, then kx > x and ky > y
  • If 0 < k < 1, then kx < x and ky < y

∵ Δ RST is dilated about the origin O to create Δ R'S'T'

- Assume that the scale factor is k

∵ Point R is (3 , 9)

∴ x = 3 and y = 9

∵ Point R' is (1.2 , 3.6)

∴ kx = 1.2 and ky = 3.6

∵ x = 3 and kx = 1.2

- Substitute x in kx to find k

∴ k(3) = 1.2

∴ 3k = 1.2

- Divide both sides by 3

∴ k = 0.4

To check your answer use the y-coordinates of R and R' to find k

∵ y = 9 and ky = 3.6

- Substitute the value of y in ky to find k

∵ k(9) = 3.6

∴ 9k = 3.6

- Divide both sides by 9

∴ k = 0.4

∴ The scale factor is 0.4

The scale factor which used to perform the dilation was 0.4

Learn more:

You can learn more about dilation in brainly.com/question/3552621

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