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Math Help - Coordinates of P

  1. #1
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    Coordinates of P

    What are the coordinates of point
    P, the image of point (3,4) after are flection in the line y = x?

    (1) (3,4) (3) (4,3)

    (2) (3,4) (4) (4,3)
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  2. #2
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    Quote Originally Posted by magentarita View Post
    What are the coordinates of point
    P, the image of point (3,4) after are flection in the line y = x?

    (1) (3,4) (3) (4,3)

    (2) (3,4) (4) (4,3)
    The line y= x is exactly 45 degrees from both the x and y axes. "Reflecting points in a line basically rotates the entire plane around that line. Because the angles are equal, the positive x axis reflects into the positive y axis and vice-versa. The point (x, y) reflects to (y, x).
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  3. #3
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    your hint.............

    Quote Originally Posted by HallsofIvy View Post
    The line y= x is exactly 45 degrees from both the x and y axes. "Reflecting points in a line basically rotates the entire plane around that line. Because the angles are equal, the positive x axis reflects into the positive y axis and vice-versa. The point (x, y) reflects to (y, x).
    I thank you for your help.
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