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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