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Mathematics 18 Online
OpenStudy (anonymous):

Need help with scale factor

OpenStudy (anonymous):

1111/2500 scale thats surprisingly as simple as it gets lol

jimthompson5910 (jim_thompson5910):

how long is segment AB?

OpenStudy (anonymous):

So it would be 6?

jimthompson5910 (jim_thompson5910):

how long is DE?

OpenStudy (anonymous):

9?

jimthompson5910 (jim_thompson5910):

now divide DE by AB

jimthompson5910 (jim_thompson5910):

DE/AB = 9/6 = 3/2 So the scale factor as a fraction is 3/2 The scale factor as a decimal number is 1.5 (since 3/2 = 1.5)

jimthompson5910 (jim_thompson5910):

This basically means DE is 1.5 times longer than AB

jimthompson5910 (jim_thompson5910):

The same will be true for the other pairs of corresponding sides.

OpenStudy (anonymous):

So what would I do to find the scale factor of all 3? abc into def?

jimthompson5910 (jim_thompson5910):

you just need to use one pair of corresponding sides to find the scale factor

jimthompson5910 (jim_thompson5910):

you don't need to use all 3 sides

jimthompson5910 (jim_thompson5910):

this is assuming the two triangles are similar

OpenStudy (anonymous):

Okay, sorry first time doing this. Well they are similar so would that 1.5 come into play to find the answer of the q?

jimthompson5910 (jim_thompson5910):

that answers part a), yes

jimthompson5910 (jim_thompson5910):

for part b) you can divide each coordinate of points D, E, F by 3 to get the new points G, H, I that will let you apply the scale factor of 1/3

jimthompson5910 (jim_thompson5910):

So for instance, E is the point (6,6) Divide each coordinate by 3 to get 6/3 = 2 and 6/3 = 2 Therefore, E(6,6) ----> H(2,2)

jimthompson5910 (jim_thompson5910):

well F(9,3) ----> I(3,1) which is what I think you meant to say

jimthompson5910 (jim_thompson5910):

and D(6,-3) ----> G(2,-1)

OpenStudy (anonymous):

So my last post was correct?

jimthompson5910 (jim_thompson5910):

yes but F isn't used, an uppercase i is used instead

OpenStudy (anonymous):

whoops

jimthompson5910 (jim_thompson5910):

also, don't forget to surround the ordered pair in parenthesis

jimthompson5910 (jim_thompson5910):

it's not G = 2,-1 it should be G = (2,-1)

jimthompson5910 (jim_thompson5910):

no, both are used

jimthompson5910 (jim_thompson5910):

(2,-1) means x = 2, y = -1

jimthompson5910 (jim_thompson5910):

so you start at the origin (0,0)

jimthompson5910 (jim_thompson5910):

then you go 2 units to the right and then 1 unit down to land on (2,-1)

jimthompson5910 (jim_thompson5910):

x handles how much you go left/right y handles how much you go up/down and you always start at the origin

jimthompson5910 (jim_thompson5910):

if x is positive, you go right if x is negative, you go left if y is positive, you go up if y is negative, you go down

jimthompson5910 (jim_thompson5910):

it looks like the origin is way on the left, which is bizarre

jimthompson5910 (jim_thompson5910):

where the darker lines (which look like the x and y axis) intersect

jimthompson5910 (jim_thompson5910):

That's just saying that point C is at the location (6,2)

jimthompson5910 (jim_thompson5910):

You can either write that as C = (6,2) or you can say C(6,2)

OpenStudy (anonymous):

Don't know where 0,0 is :/

OpenStudy (anonymous):

Thought it was that line that's more on the right side

jimthompson5910 (jim_thompson5910):

Do you see the darker lines (the x and y axis)?

jimthompson5910 (jim_thompson5910):

the x and y axis always intersect at the origin

OpenStudy (anonymous):

Ah okay so the 0,0 is actually on the y line? that's strange..

jimthompson5910 (jim_thompson5910):

and the x line too

jimthompson5910 (jim_thompson5910):

it's where the two axis cross

jimthompson5910 (jim_thompson5910):

so it's off to the left for some reason

jimthompson5910 (jim_thompson5910):

probably so they can fit more of the positive points in the picture

OpenStudy (anonymous):

Okidokie gonna graph this real quick then we'll see if I'm correct

jimthompson5910 (jim_thompson5910):

alright

OpenStudy (anonymous):

uploading now

jimthompson5910 (jim_thompson5910):

ok, post when ready

jimthompson5910 (jim_thompson5910):

Ok everything looks good but point G

OpenStudy (anonymous):

Yep that's what I was worried about, erased it so many times

jimthompson5910 (jim_thompson5910):

G is G = (2,-1) not (2,0)

OpenStudy (anonymous):

So right where G is right now I literally just moved it down one?

OpenStudy (anonymous):

move*

OpenStudy (anonymous):

Think that's right, think I got it

jimthompson5910 (jim_thompson5910):

yes, move G one unit down to make it land on (2,-1) and that's all you need to fix

OpenStudy (anonymous):

Gotta really thank you, I really appreciate you dedicating so much time to help me was a huge help

jimthompson5910 (jim_thompson5910):

I'm glad it's clicking now, yw

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