Mathematics

Question

1. Point A(-5,8) is reflected across the line y = x. What are the coordinates of A'? Show your work and explain.

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1 Answer

  • Answer:

    The coordinates of  A'(8,-5)

    Step-by-step explanation:

    we know that

    When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places

    so

    The rule of the reflection across the line y=x is

    (x,y) -----> (y,x)

    we have the point A(-5,8)

    Applying the rule of the reflection across the line y=x

    A(-5,8) ----> A'(8,-5)

    see the attached figure to better understand the problem

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