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Math Help - Transformation

  1. #1
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    Transformation

    Describe a transformation that carries the triangle with vertices (0
    , 0), (13, 0), and (3, 2) onto the triangle with vertices (0, 0), (12, 5), and (2, 3). Where does your transformation send the point (6, 0)?

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  2. #2
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    Quote Originally Posted by thamathkid1729 View Post
    Describe a transformation that carries the triangle with vertices (0
    , 0), (13, 0), and (3, 2) onto the triangle with vertices (0, 0), (12, 5), and (2, 3). Where does your transformation send the point (6, 0)?

    after plotting the points, looks to me like a ccw rotation about the origin of magnitude

    \theta = \arctan\left(\dfrac{5}{12}\right)

    the point (6,0) maps to coordinates (6\cos{\theta},6\sin{\theta})
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