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Math Help - More transformation matrices

  1. #1
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    Question More transformation matrices

    Another question i'm having trouble with:
    You have a square located about the origin with vertices A(1,0), B(0,1),
    C(-1,0) and D(0,-1). There are a total of eight transformations that map ABCD onto itself. Rotation through 90 degrees and reflection in the x-axis are two transformations that do this.
    Find the other 6 transformations and the transformation matrix to go with it. (Hint they all follow a similar pattern)

    Plz help!
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    Quote Originally Posted by checky123 View Post
    Another question i'm having trouble with:
    You have a square located about the origin with vertices A(1,0), B(0,1),
    C(-1,0) and D(0,-1). There are a total of eight transformations that map ABCD onto itself. Rotation through 90 degrees and reflection in the x-axis are two transformations that do this.
    Find the other 6 transformations and the transformation matrix to go with it. (Hint they all follow a similar pattern)

    Plz help!
    A rotation of 180 degrees also works. Can you find one other rotation?
    Given that a reflection over the x-axis works, can you think of another axis that might work?
    The reflection over y = x. (Can you think of another one similar to this?)
    There is an operation called "inversion." This maps the point (x, y) to the point (-x, -y). This works as well.

    -Dan
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