lisa200592
Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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

Sagot :

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

x=[tex] \frac{9*1}{12} [/tex] = [tex] \frac{9}{12} [/tex] = [tex] \frac{3}{4} [/tex] is the scale factor.





JeanaShupp

Answer: [tex]\frac{3}{4}[/tex]

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,

[tex]k=\frac{\text{side of image}}{\text{side of the pre-image}}\\\\\Rightarrow\ k=\frac{9}{12}\\\\\Rightarrow\ k=\frac{3}{4}[/tex]

Hence, the scale factor for the dilation is [tex]\frac{3}{4}[/tex].

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.