Lisa200592idn
Answered

IDNLearn.com provides a collaborative environment for finding accurate answers. Our experts are ready to provide prompt and detailed answers to any questions you may have.

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].

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.