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Algebra2

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A triangle has points A(1, 2), B(1, 6), and C(3, 6) and is reflected over the x-axis and then over the line y = x. A"B"C" are the coordinates of the reflected image. What is the A" coordinate?

  • Algebra2 -

    reflect over y=0: (x,y) -> (x,-y)

    A(1,2) -> A'(1,-2)
    B(1,6) -> B'(1,-6)
    C(3,6) -> C'(3,-6)

    reflect in y=x: (x,y) -> (y,x)

    A'(1,-2) -> A*(-2,1)
    B'(1,-6) -> B*(-6,1)
    C'(3,-6) -> C*(-6,3)

    combined image: (x,y) -> (-y,x)

  • Algebra2 -

    (-6,3)

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