Question

After a dilation centered at the origin, the image of CD is C'D'.
If the coordinates of the endpoints of these segments are C(6,-4),
D(2,-8), C'(9,-6), and D'(3.-12), the scale factor of the dilation is
3/2
2/3
3
1/3

Answer 1

Answer: 3/2

Step-by-step explanation: just believe me

Answer 2

The value of the dilation factor is 3/2 after a dilation centered at the origin, and the image of the CD is C'D' option first is correct.

What is dilation?

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

We have CD after dilated from centered it becomes C'D'

Let m be the dilation factor:

Then,

6m = 9     ⇒  m = 3/2

-4m - -6    ⇒  m = 3/2

2m = 3      ⇒  m = 3/2

-8m = -12  ⇒   m = 3/2

Thus, the value of the dilation factor is 3/2 after a dilation centered at the origin, and the image of the CD is C'D'. If the coordinates of the endpoints of these segments are C(6,-4), D(2,-8), C'(9,-6), and D'(3.-12)

Learn more about the dilation here:

brainly.com/question/13176891

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