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Math Help - IGCSE Maths Geometry Transformation

  1. #1
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    Post IGCSE Maths Geometry Transformation

    Triangle ABC, A(2,1) B(7,1) C(2,4); transform the triangle by the matrix(1 -1 next row 1 1) and the transformation is a rotation followed by an enlargement. How to calculate the angle of the rotation and the scale factor of the enlargement. Thank You..
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  2. #2
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    I think this post belongs to university math, linear and advanced algebra.
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  3. #3
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    I saw this in one of the IGCSE text...
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  4. #4
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    Okay, I just thought you might get some answers easier there. Actually, I should know the answer but I guess IŽll have to admit, I forgot ho to do it

    Good luck!
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  5. #5
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    Quote Originally Posted by wilbursmith View Post
    Okay, I just thought you might get some answers easier there. Actually, I should know the answer but I guess IŽll have to admit, I forgot ho to do it

    Good luck!
    A rotation matrix has the form
    [cos x -sin x
    sin x cos x ]
    You can write your matrix as
    sqrt(2) [ 1/sqrt(2) -1/sqrt(2)
    ............ 1/sqrt(2) 1/sqrt(2)]

    Hence the angle of rotation is pi/4 radians, and the dilation factor is sqrt(2)
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  6. #6
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    thank you sir;
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  7. #7
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    Quote Originally Posted by josemalawi View Post
    I saw this in one of the IGCSE text...
    There is a way to derive the rotation geometrically without the use of linear algebra.

    I did this some time ago for fun (sorry about the ironically wrong orientation of the attachment )
    Attached Thumbnails Attached Thumbnails IGCSE Maths Geometry Transformation-img_3506.jpg  
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