Question

Pre - image ABCD was dilated to produce image A"B"C"D'. What is the scale factor of the similar figures? Enter the answer in simplest form. One image is 12 and the other is 9

Answer 1

12...........1 total (first image)
9.............x by total (first image)

x=$\frac{9*1}{12}$ = $\frac{9}{12}$ = $\frac{3}{4}$ is the scale factor.

Answer 2

Answer: $\frac{3}{4}$

Step-by-step explanation:

Given: Pre - image ABCD was dilated to produce image A"B"C"D'.

Let k be the scale factor of the dilation from Pre-image ABCD to A"B"C"D .

Since, the scale factor of  dilation is the ration of the sides of the image to the pre-image.

Then,

$k=\frac{\text{side of image}}{\text{side of the pre-image}}\\\\\Rightarrow\ k=\frac{9}{12}\\\\\Rightarrow\ k=\frac{3}{4}$

Hence, the scale factor for the dilation is $\frac{3}{4}$.