Question

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?

Answer 1

Answer: 1, 3, and 4 are correct

Step-by-step explanation: 1. 3/2 = 1.5 1.5 x 12 =18 3. 12 x 2 = 24 4. 3/4= 0.75 0.75 x 12 = 9

The rest are incorrect

Answer 2

Answer: FIrst option, Fourth option and Fifth option.

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:

`C'D'=nCD=(n)(12\ units)`

Therefore, knowing this, you can determine that:

1. If
`n=(3)/(2)` , you get:

`C'D'=((3)/(2))(12\ units)=18\ units`

2. If
`n=4`, then the length of C'D' is:

`C'D'=(4)(12\ units)=48\ units`

3. If
`n=8`, then:

`C'D'=(8)(12\ units)=96\ units`

4. If
`n=2`, then, you get that the lenght of C'D' is:

`C'D'=(2)(12\ units)=24\ units`

5. If
`n=(3)/(4)`, the length of C'D' is the following:

`C'D'=((3)/(4))(12\ units)=9\ units`