Please check my answer Triangle ABC has been dilated to form triangle AꞌBꞌCꞌ.What is the scale factor?

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Please check my answer Triangle ABC has been dilated to form triangle AꞌBꞌCꞌ.What is the scale factor?

Mathematics
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i think it is 2/5 once simplified

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simply take the ratio of sides of image and preimage : \[\large \dfrac{7.5}{3}\]
yes , I did and simplified I got 2/5
I did the 7.5/3...3/7.5...becomes 2/5
you did it in reverse
7.5/3 should be 5/2
\[\large \dfrac{7.5}{3} = \dfrac{75}{30} = \dfrac{5}{2}\]
I did it like this one... Pre-image ABCD was dilated to produce image AꞌBꞌCꞌDꞌ. What is the scale factor of the similar figures? Enter the answer in simplest form. Two quadrilaterals labeled A B C D and A-prime, B-prime, C-prime, D-prime. Quadrilateral A B C D is larger than the other quadrilateral, which is to the right of quadrilateral A B C D. Side B C is labeled twelve, and side B-prime, C-prime is labeled nine.
it was explained to me that I needed to reverse the numerator and the denominator .... now confused :{
just a convention always put the "image" side on top
ok... so i need to go back and fix the other as well then or it will be incorrect?.
whats your answer for the other one with quadrilateral ?
simplified 3/4.... but that was doing the switching thing bc I originally had 4/3
3/4 is correct.
ok, but what is the reason I flip the one and not the other? I just want to make sure I understand it
no wait, in the first question, the bigger triangle is image, yes ?
let me reread it
it reads as if the ABC is the original and the other is the dilation
if it is image on top the the first would be 12/9 simplified to 4/3
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kk
Image = final picture after dilation preimage = original picture before dilation
and the image or original is the numerator the copy the denominator right?
again, image is final picture after dilation
preimage is original picture before dilation
no I said it wrong meant to say it the other way... now I am confusing myself...lol
for first question 5/2 is correct for second question 3/4 is correct
Just seems as if it should be the other way around :) I got it now. I just need to pay close attention to which one is the original and which is the copy. I think if I look at it that way vs. image/pre-image I get it a bit better.
actually scaale factor = pre-image/image makes more sense
because you can get the dimensions of image by simply multiplying the original dimensions by scale factor
and always put the original on top and copy on bottom right?
always put image on top original on bottom
you just need to do couple of problems before seeing why it makes sense
ok,ok, I got this now :) Thank you. sometimes it is the smallest of things that trip me up but it just takes putting it in to a way my brain accepts the info without twisting it...yay for dyslexia...again thank you :)
this trips everyone in the start, things will make sense by practice eventually
tyvvm!

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