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jimthompson5910 (jim_thompson5910):
Does it give you the coordinates of each point? It seems like each point doesn't have whole number coordinates (which means we'd have to make estimates)
OpenStudy (ayyookyndall):
Thats what my questions asked. So I guess we will have to...
jimthompson5910 (jim_thompson5910):
so what's one possibility for point A? where is A located right now?
OpenStudy (ayyookyndall):
-3, 1
jimthompson5910 (jim_thompson5910):
yeah that's possible I guess
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jimthompson5910 (jim_thompson5910):
A = (-3,1)
jimthompson5910 (jim_thompson5910):
to do the scaling, we multiply all its coordinates by 4
jimthompson5910 (jim_thompson5910):
A = (-3,1)
A' = (-3*4, 1*4)
A' = (-12, 4)
jimthompson5910 (jim_thompson5910):
do the same for B, C and D
jimthompson5910 (jim_thompson5910):
I agree with that
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jimthompson5910 (jim_thompson5910):
now apply the scale factor
OpenStudy (ayyookyndall):
Correct?
jimthompson5910 (jim_thompson5910):
you are correct
OpenStudy (ayyookyndall):
And thats it?
jimthompson5910 (jim_thompson5910):
yep you just multiply every coordinate by 4 to get your new points A', B', C' and D'
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OpenStudy (ayyookyndall):
Isn't it a translation image of the other? @jim_thompson5910
jimthompson5910 (jim_thompson5910):
yeah you shifted it up or down (depending on which one you picked to start with)
OpenStudy (ayyookyndall):
So I choose to start with the top one.
All I explain is that you can shift it down? Is there another explanation? @jim_thompson5910
jimthompson5910 (jim_thompson5910):
Yeah if you start with the top figure, you shift it down some number of units.
OpenStudy (ayyookyndall):
Thats it for that question? @jim_thompson5910
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jimthompson5910 (jim_thompson5910):
yes
OpenStudy (ayyookyndall):
The dilation is a reduction, correct? @jim_thompson5910
jimthompson5910 (jim_thompson5910):
yes because the dashed image is smaller
jimthompson5910 (jim_thompson5910):
"Find the scale factor of the dilation. "
jimthompson5910 (jim_thompson5910):
hint: focus on the red points
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OpenStudy (ayyookyndall):
So its x2?
OpenStudy (ayyookyndall):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
which red points did I mark?
OpenStudy (ayyookyndall):
The tips of the triangles.
jimthompson5910 (jim_thompson5910):
what are the coordinates?
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OpenStudy (ayyookyndall):
The little triangle (-1,0)
The big triangle (-6,0)
jimthompson5910 (jim_thompson5910):
remember the tick marks are going by 2 (not 1)
OpenStudy (ayyookyndall):
So x5?
jimthompson5910 (jim_thompson5910):
you made an error with the little triangle
jimthompson5910 (jim_thompson5910):
the tick marks are going by 2 (not 1)
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OpenStudy (ayyookyndall):
Oop so its x4
jimthompson5910 (jim_thompson5910):
The little triangle (-1,0) ... incorrect
The big triangle (-6,0) ... correct
OpenStudy (ayyookyndall):
The little triangle (-2,0)
OpenStudy (ayyookyndall):
So the scale factor would be x4
jimthompson5910 (jim_thompson5910):
you go from (-2,0) to (-6,0)
fill in the blank
-2 times _______ = -6
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OpenStudy (ayyookyndall):
-2 times 4 = -6
jimthompson5910 (jim_thompson5910):
-2 times 4 is not -6
jimthompson5910 (jim_thompson5910):
you might be thinking of 2 + 4 = 6
OpenStudy (ayyookyndall):
Oops I meant 3
jimthompson5910 (jim_thompson5910):
yep so the scale factor is 3
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jimthompson5910 (jim_thompson5910):
oops no
jimthompson5910 (jim_thompson5910):
1/3 because the larger figure is getting smaller
OpenStudy (ayyookyndall):
Where did you get 1/3 from?
jimthompson5910 (jim_thompson5910):
well you multiply the coordinates of (-6,0) by 1/3 to get (-2,0)
jimthompson5910 (jim_thompson5910):
since we go from big to small
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jimthompson5910 (jim_thompson5910):
going in reverse is x 3 (flip the fraction 1/3 to get 3)
OpenStudy (ayyookyndall):
So the scale factor is not 3?
jimthompson5910 (jim_thompson5910):
if it was 3, then the dashed image would be larger than the original
OpenStudy (ayyookyndall):
So the scale factor is 1/3
OpenStudy (ayyookyndall):
@jim_thompson5910 ?
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