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) (A)</p> Signup and view all the answers

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

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

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

<p>(x,y)-&gt;(-y,-x) (D)</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

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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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