Geometry Transformation Rules Flashcards
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Questions and Answers

What is the rule for a 90° rotation counterclockwise?

  • (x,y)->(-y,x) (correct)
  • (x,y)->(x,y)
  • (x,y)->(-x,-y)
  • (x,y)->(y,-x)

    • What is the rule for a 180° rotation?

  • (x,y)->(-x,-y) (correct)
  • (x,y)->(x,y)
  • (x,y)->(-y,x)
  • (x,y)->(y,-x)

    • What is the rule for a 270° rotation?

  • (x,y)->(-x,-y)
  • (x,y)->(-y,x)
  • (x,y)->(x,y)
  • (x,y)->(y,-x) (correct)

    • What is the rule for a 360° rotation?

    <p>(x,y)-&gt;(x,y)</p> Signup and view all the answers

    What is the rule for reflection across the line y=x?

    <p>(x,y)-&gt;(y,x)</p> Signup and view all the answers

    What is the rule for reflection across the line y=-x?

    <p>(x,y)-&gt;(-y,-x)</p> Signup and view all the answers

    What is the rule for translation a units to the right?

    <p>-&gt;</p> Signup and view all the answers

    What is the rule for translation a units to the left?

    <p>-&gt;</p> Signup and view all the answers

    What is the rule for translation b units up?

    <p>-&gt;</p> Signup and view all the answers

    What is the rule for translation b units down?

    <p>-&gt;</p> Signup and view all the answers

    Study Notes

    Rotation Transformation Rules

    • 90° counterclockwise rotation: (x, y) transforms to (-y, x).
    • 180° rotation: (x, y) transforms to (-x, -y).
    • 270° rotation: (x, y) transforms to (y, -x).
    • 360° rotation: (x, y) remains as (x, y).

    Reflection Transformation Rules

    • Reflection across the line y = x: (x, y) transforms to (y, x).
    • Reflection across the line y = -x: (x, y) transforms to (-y, -x).

    Translation Transformation Rules

    • Translation a units to the right: (x, y) changes to (x + a, y).
    • Translation a units to the left: (x, y) changes to (x - a, y).
    • Translation b units up: (x, y) changes to (x, y + b).
    • Translation b units down: (x, y) changes to (x, y - b).

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    Description

    Explore the essential transformation rules in geometry with these flashcards. Learn how to perform rotations and reflections on coordinates through concise definitions. Perfect for students looking to master geometry transformations quickly!

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