Question

Pre-image ABCD was dilated to produce image AꞌBꞌCꞌDꞌ.

What is the scale factor of the similar figures? Enter the answer in simplest form.
http://static.k12.com/calms_media/media/1574000_1574500/1574343/1/00cc64bab8fbd78783091799a31318c869d668e2/MS_IMC-141231-111315.jpg

Answer 1

Answer must be a fraction

Answer 2

Since you have that the original image is 14 units on that specific side, and the similar image has the same side provided with 8 units, you can create a fraction
If the side of the original image is the denominator, and the side of the similar image is the numerator, what fraction would you create?

Answer 3

I don't understand. I learn better visually.

Answer 4

Hm, ok
So we have two quadrilaterals, correct?

Answer 5

yes

Answer 6

Ok, and one is similar to the other right?

Answer 7

yes indeed

Answer 8

Since they are similar, they are the same, just the other is smaller at a specific scale.

We have the same side provided on both of them. One is 8 units, and the other is 14, right?

Answer 9

yes.

Answer 10

Great, so the original one is the quadrilateral with 14, and the similar object is 8.

If the we put the length of that one side on the original quadrilateral as the denominator, and the length of the similar object at the numerator, what fraction could we create?

Answer 11

Oh, and remember.

If the scale factor is greater than 1, that means you made the shape bigger, if it's less than 1, that means you made it smaller..so that way you don't get the sides mixed up.

Answer 12

14 / 8 = 1.75 so the scale factor is 3 / 4

Answer 13

No..

Answer 14

oh.

Answer 15

14 / 8 = 1.75

ABCD to A'B'C'D' makes it smaller..1.75 is telling you that it gets bigger.

Answer 16

okay

Answer 17

So you got the numerator and denominator switched around.

Answer 18

4 / 3 then?

Answer 19

Where did 4 and 3 come from?

Answer 20

We're still dealing with the two sides.

Answer 21

Look at what @camerondoherty said..take the original length and divide it by the new length.

Answer 22

I don't have time for this.

Answer 23

\(\color{blue}{\text{Originally Posted by}}\) @CheesecakeKitten
14 / 8 = 1.75 so the scale factor is 3 / 4
\(\color{blue}{\text{End of Quote}}\)


You wrote 14 / 8..you have the numerator and denominator mixed up.

Answer 24

Its a very simple process
Just listen to what we're saying and try to understand
If you had 14/8, all you have to do is flip it, then simplify

Answer 25

alright. Ill try to be patient

Answer 26

so 4 / 18 which equals 1/5?

Answer 27

Look, we have 14/8
Flip that, what do you get?

Answer 28

^^^

Answer 29

Give the medal to @camerondoherty she worked way harder than me :P

Answer 30

kk

Answer 31

I don't need medals cx
Don't worry about it
I just want to make sure you get the right answer

Answer 32

kk

Answer 33

You have 14/8
You just switch the top and bottom numbers
What do you get?

Answer 34

I don't either, but you need them more than me.

Answer 35

8 / 14

Answer 36

Yes, great! Now simplify that and you have your answer!

Answer 37

um i got 0.571428571

Answer 38

No, simplify it as a fraction..not to a decimal.

Answer 39

i know that, i'm trying

Answer 40

4 / 7

Answer 41

Correct.

Answer 42

That's your answer.

Answer 43

thank you.