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Math Help - Dilation

  1. #1
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    Dilation

    Under a dilation, triangle A(0,0), B(0,4), C(6,0) becomes triangle A'(0,0), B'(0,10), C(15,0). What is the scale factor for this dilation?

    What is a dilation?

    What is a scale factor?
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  2. #2
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    Quote Originally Posted by symmetry View Post
    Under a dilation, triangle A(0,0), B(0,4), C(6,0) becomes triangle A'(0,0), B'(0,10), C(15,0). What is the scale factor for this dilation?

    What is a dilation?

    What is a scale factor?
    Hello,

    a dilation is a transformation (projection(?)) with a centre of enlargement. (With your problem this centre is the point A = A') The rate of length of corresponding lines is constant: That's the scale factor.

    With your problem you have:

    \frac{\overline{A'B'}}{\overline{AB}}=\frac{10}{4}  =2.5

    \frac{\overline{A'C'}}{\overline{AC}}=\frac{15}{6}  =2.5

    EB
    Attached Thumbnails Attached Thumbnails Dilation-zentr_streckg1.gif  
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  3. #3
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    ok

    Your replies are wonderfully simple and fund to read.
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