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

Answer:

A. The center of dilation is point C.

B.  It is a reduction.

E.  The scale factor is 2/5.

Step-by-step 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 $\frac{CX'}{CX}$ or $\frac{CY'}{CY}$ or $\frac{CZ'}{CZ}$ to find out what the scale factor is.

$\frac{CX'}{CX}=\frac{2}{5}$

$\frac{CZ'}{CZ}=\frac{3}{7.5}=\frac{2}{5}$.

The scale factor is 2/5.

Answer 2

Answer:

A, The center of dilation is point C.

B, It is a reduction.

and E, The scale factor is 2/5.

Step-by-step explanation: