Question

Square DEFG is similar to square DꞌEꞌFꞌGꞌ. Segment EF is 2 units and segment EꞌFꞌ is 6 units.

Which scale factor was used to dilate square DEFG to form square DꞌEꞌFꞌGꞌ?



A. 1/3


B. 1/2


C. 2


D. 3

https://static.k12.com/calms_media/media/1573500_1574000/1573598/1/77e277917d28f4cbfc0d826ae30a3497e43aef85/MS_IMC-141219-110801.jpg

Answer 1

@asett do you think you could help me with this?

Answer 2

I would love to, but I'm helping like four other people so it might take a bit!! :D

Answer 3

it's totally fine! i'll just skip it for now

Answer 4

So, dilate means to enlarge (think of your pupils when you go to the optometrist), so what number must you multiply EF length by to get the length off E'F'? That's the essence of this question!! Tag me when you've got a guess :)

Answer 5

The scale factor from the small square to the large square is 2/6 which is 1/3.

But, the dilated square has sides of length 3 times that of the pre-image.

So, I am thinking that the dilation factor is 3.

Answer 6

Correct, @Directrix, but I wanted @pugtato to arrive at that answer him(?)self. :)

Answer 7

It's okay, I think I understand it now thanks to you two :) i'll try to do the next one by myself

Answer 8

Great attitude!! Best of luck!! :)