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Math Help - Rotations

  1. #1
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    Rotations

    Say I have a square with the points (2,4)-(3,4)-(3,5)-(2,5).

    Say I want to rotate this square 90 degrees around the origin I get the points
    (-4,2)-(-5,2)-(-5,3)-(-4,3) I did this by spinning my paper 90 degrees. How can I use a protractor to be able to solve this problem? This is the way that I am suppose to solve this problem by using a protractor and I really do not understand how to do this. Thank you for any help. Or do you know how I can solve this besides turning my paper the alloted degrees and getting the coordinates.
    Last edited by schinb64; February 3rd 2008 at 12:13 PM. Reason: Add question
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  2. #2
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    Quote Originally Posted by schinb64 View Post
    Say I have a square with the points (2,4)-(3,4)-(3,5)-(2,5).

    Say I want to rotate this square 90 degrees around the origin. ... Or do you know how I can solve this besides turning my paper the alloted degrees and getting the coordinates.
    I've attached adrawing to show you how this construction can be done:

    1. The concentric circles are the paths on which the vertices of the square are moving during the rotation.

    2. Construct a line perpendicular to OA.

    3. Where this line intersect the circle passing through A the image of A, A', is located.

    4. Do the same procedure for the last 3 vertices.

    5. Connect all points A', B', C' and D'. Check if you actually got a square.
    Attached Thumbnails Attached Thumbnails Rotations-rotat_quad1.gif  
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