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Math Help - Dilations Help

  1. #1
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    Dilations Help

    Find image of (-15,13) for a dilation with the center (-1,-9) and a scale factor of 1/4.

    We are stuck on these problems, and are having a tough time finding a way to solve with the resources we have. Any help would be very much appreciated.

    Thank You,

    Dennis Bernard
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by bernardwbs View Post
    Find image of (-15,13) for a dilation with the center (-1,-9) and a scale factor of 1/4.

    We are stuck on these problems, and are having a tough time finding a way to solve with the resources we have. Any help would be very much appreciated.

    Thank You,

    Dennis Bernard
    Hello,

    make a sketch (see attachment)

    Use similar triangles. All distances can be calculated by the coordinates of the 2 points.
    Attached Thumbnails Attached Thumbnails Dilations Help-zentr_streckg2.gif  
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  3. #3
    Senior Member JaneBennet's Avatar
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    Alternatively, first do a translation of (1,9), apply a dilation of 1⁄4 with the origin as the centre, then translate back to (−1,−9). So

    (-15,13)\ \rightarrow\ (-14,22)\ \rightarrow\ (-3.5,5.5)\ \rightarrow\ (-4.5,-3.5)
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