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Mathematics 9 Online
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)

OpenStudy (itsyacoolgrl):

|dw:1428672669803:dw|

OpenStudy (igreen):

\(\sf Scale~Factor=\dfrac{Side~of~new~figure}{(corresponding)~Side~of~original~figure}\)

OpenStudy (welshfella):

divide the 7 in small triangle by the correspond side in the large one

OpenStudy (igreen):

So DEF has a side length of 7 on EF..and the corresponding side is BC. So: \(\sf Scale~Factor=\dfrac{EF}{BC}\)

OpenStudy (igreen):

What's the length of BC? @Itsyacoolgrl

OpenStudy (itsyacoolgrl):

21

OpenStudy (igreen):

Yes, so what's the scale factor?

OpenStudy (itsyacoolgrl):

7/21

OpenStudy (itsyacoolgrl):

Thanks @iGreen ! XD

OpenStudy (igreen):

Yep, now simplify it

OpenStudy (igreen):

Oh, well if it doesn't want you to..

OpenStudy (itsyacoolgrl):

I do have to simplify it

OpenStudy (igreen):

Oh, okay..do you know how?

OpenStudy (itsyacoolgrl):

not really

OpenStudy (igreen):

Divide the numerator and denominator by 7.

OpenStudy (igreen):

7 / 7 = ? 21 / 7 = ?

OpenStudy (itsyacoolgrl):

oh! 1/ 3

OpenStudy (igreen):

Yep, you got it.

OpenStudy (itsyacoolgrl):

Thanks!

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