Mathematics
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OpenStudy (anonymous):
Need help with scale factor
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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?
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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?
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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
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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?
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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
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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
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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 :/
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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
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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
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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)
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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
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jimthompson5910 (jim_thompson5910):
I'm glad it's clicking now, yw