Question

29 POINTS! ANSWER ASAP PLEASE. Which statements about the dilation are true? Check all that apply. (multiple choice question) (image provided below)

A. The center of dilation is point C
B. It is a reduction
C. It is an enlargement
D. The scale factor is 2.5
E. The scale factor is 2/5

Answer 1

A, The center of dilation is point C.

B, It is a reduction.

and E, The scale factor is 2/5.

Explanation:

Answer 2

A. The center of dilation is point C.

B. It is a reduction.

E. The scale factor is 2/5.

Explanation:

The center is shown as C. You can see this from the line segments they drew through C, the image, and the pre-image.

The pre-image is the image before the dialation. The pre-image here is XYZ.

The image is the image after dialation. The image is X'Y'Z'.

If you look at the pre-image XYZ and then it's image X'Y'Z', ask yourself the image get smaller or larger. To me I see a larger triangle being reduce to a smaller triangle so this is a reduction.

The scale factor cannot be bigger than 1 because the image shrunk so D is definitely not a possibility.

E. is a possibility but let's actually find the scale factor to see.

We can calculate
`(CX')/(CX)` or
`(CY')/(CY)` or
`(CZ')/(CZ)` to find out what the scale factor is.

`(CX')/(CX)=(2)/(5)`

`(CZ')/(CZ)=(3)/(7.5)=(2)/(5)`.

The scale factor is 2/5.