If pentagon OPQRS is dilated by a scale factor of 7/4 from the origin, to create O’P’Q’R’S’, what is the ordered pair of point P’?
(-8.75, 5.25)
(-1.25, 0.75)
(-3.5, 8.75)
(-1.75, 3.5)
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OpenStudy (sarahc):
jimthompson5910 (jim_thompson5910):
All you need to do here is multiply each coordinate of P by 7/4 to find the corresponding coordinates of P'
OpenStudy (sarahc):
err ok...
jimthompson5910 (jim_thompson5910):
does that make sense?
OpenStudy (sarahc):
not really :/
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jimthompson5910 (jim_thompson5910):
What's the x coordinate of P?
OpenStudy (sarahc):
-5
jimthompson5910 (jim_thompson5910):
So multiply that by 7/4 to get ???
OpenStudy (sarahc):
ohhhh okay.
jimthompson5910 (jim_thompson5910):
and you do the same for the y coordinate as well
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OpenStudy (sarahc):
ok so (-8.75, 5.25)
jimthompson5910 (jim_thompson5910):
you got it
OpenStudy (sarahc):
would i do the same for this? If hexagon IJKLMN is dilated by a scale factor of from the origin to create hexagon I’J’K’L’M’N’, what is the ordered pair of point L’?
OpenStudy (sarahc):
sooo the answer would be (-0.4, 0.8) ?
jimthompson5910 (jim_thompson5910):
scale factor of what?
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OpenStudy (sarahc):
ahh I'm sorry, 2/5
jimthompson5910 (jim_thompson5910):
you got it again, nice job
OpenStudy (sarahc):
last question, I swear ;) If the perimeter of the adult pinball machine is 177 inches, what is the length, in inches of GA ?
jimthompson5910 (jim_thompson5910):
Any ideas on how to do this?
OpenStudy (sarahc):
hmm, I'm sure there is a formula..errr would it be 9. wild guess
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jimthompson5910 (jim_thompson5910):
The perimeter of the adult pinball machine is 177 inches, so the sides of that pinball machine must add to 177 right?
OpenStudy (sarahc):
yeah..
jimthompson5910 (jim_thompson5910):
so we have 4 sides, 3 of which are known
jimthompson5910 (jim_thompson5910):
let's make GA x units long, so this means that
35+56+56+x = 177
OpenStudy (sarahc):
omg I knew that. I meant, (sorry, my mistake), G'A'
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jimthompson5910 (jim_thompson5910):
no worries
jimthompson5910 (jim_thompson5910):
Notice how the ratio of EM to E'M' is 35/14, do you see this?
OpenStudy (sarahc):
yes
jimthompson5910 (jim_thompson5910):
So if G'A' is y units long, then
EM/E'M' = GA/G'A'
35/14 = x/y
So you first solve for x (using the equation in a few posts above). Then you use this equation to find y
OpenStudy (sarahc):
So, 12?
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