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Thread: Scale factors of figures

  1. #1
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    Scale factors of figures

    Figure r, s, and t are all scaled copies of one another. Figure s is a scaled copy of r using a scale factor of 3. Figure T is a scale copy of s using a scale factor of 2. Find the scale factors for each of the following:

    A. From t to s
    B. From a to r
    C. From r to t
    D. From t to r




    I have no idea how to do this, please help?
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  2. #2
    MHF Contributor

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    Re: Scale factors of figures

    Where did you get this problem? Surely the textbook or class explained what "scale factor" means?

    "Figure s is a scaled copy of r using a scale factor of 3." In other words, s is 3 time as large as r.

    "Figure T is a scale copy of s using a scale factor of 2." And T is twice as large as s.

    "Find the scale factors for each of the following:

    A. From t to s"
    Do you mean "T"? There was no "t" in the problem. Going from s to T you multiply by 2. So going from T to s you divide by 2 or multiply by 1/2. The scale factor is 1/2.

    "B. From a to r"
    And there was no "a". Did you mean "s" to r? ("a" is right beside "s" on a keyboard.) Going from r to s you multiply by 3 so going from s to r what do you multiply by?

    "C. From r to t".
    To go from r to s you multiply by 3 (if r is 5 then s is 15) and to go from s to t you multiply by 2 (if s is 15 then t is 30). So what do you multiply r by to get t? What do you multiply 5 by to get 30?

    "D. From t to r"
    What every you multiplied r by to get t (problem "C"), you divide by to go from t to r. The scale factor in "D" is 1 over the scale factor in "C". What do you multiply 30 by to get 5?
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