Lisa200592idn
Answered

IDNLearn.com connects you with a community of experts ready to answer your questions. Our platform offers reliable and detailed answers, ensuring you have the information you need.

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 :

Mariangelidn
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.





JeanaShuppidn

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].

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.