The length of CD is 12 units C’D’ is the image of CD under a dilation with a scale factor of n. Which of these are true?

FIrst option, Fourth option and Fifth option.

Step-by-step explanation:

First it is important to know the definition of "Dilation".

A Dilation is defined as a transformation in which the Image (which is the figure obtained after the transformation) and the Pre-Image (this is the original figure, before the transformations) have the same shape, but their sizes are different.

If the length of CD is dilated with a scale factor of "n" and it is centered at the origin, the length C'D' will be:

Therefore, knowing this, you can determine that:

1. If , you get:

2. If , then the length of C'D' is:

3. If , then:

4. If , then, you get that the lenght of C'D' is:

5. If , the length of C'D' is the following: