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OpenStudy (itsyacoolgrl):
Given that ABC ~ DEF, what is the scale factor of ABC to DEF? Enter answer as a whole number or as a fraction in lowest terms, using the slash mark ( / ) for the fraction bar. (Diagram to follow)
11 years ago
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OpenStudy (itsyacoolgrl):
|dw:1428672669803:dw|
11 years ago
OpenStudy (igreen):
\(\sf Scale~Factor=\dfrac{Side~of~new~figure}{(corresponding)~Side~of~original~figure}\)
11 years ago
OpenStudy (welshfella):
divide the 7 in small triangle by the correspond side in the large one
11 years ago
OpenStudy (igreen):
So DEF has a side length of 7 on EF..and the corresponding side is BC.
So:
\(\sf Scale~Factor=\dfrac{EF}{BC}\)
11 years ago
OpenStudy (igreen):
What's the length of BC? @Itsyacoolgrl
11 years ago
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OpenStudy (itsyacoolgrl):
21
11 years ago
OpenStudy (igreen):
Yes, so what's the scale factor?
11 years ago
OpenStudy (itsyacoolgrl):
7/21
11 years ago
OpenStudy (itsyacoolgrl):
Thanks @iGreen ! XD
11 years ago
OpenStudy (igreen):
Yep, now simplify it
11 years ago
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OpenStudy (igreen):
Oh, well if it doesn't want you to..
11 years ago
OpenStudy (itsyacoolgrl):
I do have to simplify it
11 years ago
OpenStudy (igreen):
Oh, okay..do you know how?
11 years ago
OpenStudy (itsyacoolgrl):
not really
11 years ago
OpenStudy (igreen):
Divide the numerator and denominator by 7.
11 years ago
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OpenStudy (igreen):
7 / 7 = ?
21 / 7 = ?
11 years ago
OpenStudy (itsyacoolgrl):
oh! 1/ 3
11 years ago
OpenStudy (igreen):
Yep, you got it.
11 years ago
OpenStudy (itsyacoolgrl):
Thanks!
11 years ago
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