∆abc is transformed with the center of dilation at the origin. pre-image: ∆abc with vertices a(−3, 4), b(−1, 12), c(4, −2) image: ∆a'b'c' with vertices a' (−0.6, 0.8), b' (−0.2, 2.4), c' (0.8, −0.4) what is the scale factor of the dilation that maps the pre-image to the image?

1/5

Step-by-step explanation:

We are to find the scale factor of the dilation that maps the pre-image of triangle ABC with vertices  A(−3, 4), B(−1, 12) and C(4, −2) to the image triangle A'B'C' with vertices A' (−0.6, 0.8), B' (−0.2, 2.4) and C' (0.8, −0.4).

Center of dilation is at the origin.

To find the scale factor, we will divide the corresponding vertices of the image and pre-image.

A (−3, 4) ---> A' (−0.6, 0.8) =

B(−1, 12) ---> B' (−0.2, 2.4) =

C(4, −2) --->  C' (0.8, −0.4) =

Therefore, the scale factor of the dilation is 1/5.

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step-by-step explanation: