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Math Help - Reflection of x=2

  1. #1
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    Reflection of x=2

    Need urgent help on this thanks.

    A reflection in the line x=2 followed by a reflection in the x axis.


    And also

    a reflection in y=x followed by a reflection in the line y=-x



    thank youuuuu
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  2. #2
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    Re: Reflection of x=2

    Do you want to find a matrix which represents these transformations on \mathbb{R}^2?
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  3. #3
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    Re: Reflection of x=2

    in the form (x,y) ---> (?x+?,?y+?)
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  4. #4
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    Re: Reflection of x=2

    In first case the reflection of point (x,y) in the line x = a will be
    (x,y) -----> (( 2a - x ), y) and then in the x axis it will be ((2a-x) , -y )
    Thus the reflection in both the lines ie., x=a and x axis taken together will be
    (x,y) ----> ((2a-x), -y )
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  5. #5
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    Re: Reflection of x=2

    Quote Originally Posted by alex123 View Post
    Need urgent help on this thanks.

    A reflection in the line x=2 followed by a reflection in the x axis.
    The point (x, y) is distance x- 2 from the line x= 2. It will be mapped to the point that distance on the other side: 2- (x- 2)= 4- x. Reflecting (x, y) in the line x= 2 maps it to (4- x, y). Reflecting in the x-axis just changes the sign on y. "A reflection in the line x=2 followed by a reflection in the x axis" maps (x, y) to (4- x, -y).


    And also

    a reflection in y=x followed by a reflection in the line y=-x
    A reflection in y= x maps (x, y) to (y, x). Why don't you think about "reflection in the line y= -x"? If you are not sure draw a graph.


    thank youuuuu
    Thanks from alex123 and MarkFL
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