Coordinate Algebra: Reflecting Points
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Coordinate Algebra: Reflecting Points

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Questions and Answers

What is the result of reflection across the x-axis?

  • (x, -y) (correct)
  • (x, y)
  • (y, x)
  • (-x, y)
  • What is the result of reflection across the y-axis?

  • (x, -y)
  • (-x, y) (correct)
  • (x, y)
  • (y, x)
  • Reflect the point (2, -3) across the x-axis.

    (2, 3)

    Reflect the point (-3, 2) across the y-axis.

    <p>(3, 2)</p> Signup and view all the answers

    Reflect the point (5, 7) over the x-axis.

    <p>(5, -7)</p> Signup and view all the answers

    Reflect the point (7, -8) over the x-axis.

    <p>(7, 8)</p> Signup and view all the answers

    Reflect the point (-2, -5) over the y-axis.

    <p>(2, -5)</p> Signup and view all the answers

    Reflect the point (10, -8) over the x-axis.

    <p>(10, 8)</p> Signup and view all the answers

    Reflect the point (-10, -11) over the y-axis.

    <p>(10, -11)</p> Signup and view all the answers

    Reflect the point (3, -7) over the x-axis.

    <p>(3, 7)</p> Signup and view all the answers

    Reflect the point (-1, 7) over the x-axis.

    <p>(-1, -7)</p> Signup and view all the answers

    Reflect the point (-5, 3) over the y-axis.

    <p>(5, 3)</p> Signup and view all the answers

    Reflect the point (-6, 7) over the x-axis.

    <p>(-6, -7)</p> Signup and view all the answers

    Study Notes

    Reflection Over Axes

    • Reflection across the x-axis transforms a point (x, y) to (x, -y).
    • Reflection across the y-axis changes a point (x, y) to (-x, y).

    Examples of Reflection Across the X-axis

    • Reflecting (2,-3) results in (2,3).
    • Reflecting (5,7) gives (5,-7).
    • Reflecting (7,-8) yields (7,8).
    • Reflecting (-1,7) transforms to (-1,-7).
    • Reflecting (3,-7) leads to (3,7).
    • Reflecting (-2,-7) results in (-2,7).
    • Reflecting (-6,7) gives (-6,-7).
    • Reflecting (10,14) transforms to (10,-14).

    Examples of Reflection Across the Y-axis

    • Reflecting (-3,2) results in (3,2).
    • Reflecting (2,-3) over the y-axis yields (-2,-3).
    • Reflecting (-2,-5) leads to (2,-5).
    • Reflecting (-5,-5) gives (5,-5).
    • Reflecting (7,10) results in (-10,7).
    • Reflecting (7,8) transforms to (-7,8).
    • Reflecting (3,-7) leads to (-3,-7).
    • Reflecting (15,-2) gives (-15,-2).
    • Reflecting (-10,-11) results in (10,-11).
    • Reflecting (-5,3) transforms to (5,3).

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    Test your knowledge of reflections in coordinate algebra with these flashcards. Each card provides a definition or example of reflecting points over the x-axis and y-axis. Perfect for reinforcing your understanding of this key concept!

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