lisa200592
Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.