Geometric Transformation Rules

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Vocabulary flashcards covering the coordinate transformation rules for translations, rotations, and reflections.

14 Terms

1
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Translation: Right +a+a

The translation rule that maps (x,y)(x, y) to (x+a,y)(x + a, y).

2
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Translation: Left −a-a

The translation rule that maps (x,y)(x, y) to (x−a,y)(x - a, y).

3
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Translation: Up +b+b

The translation rule that maps (x,y)(x, y) to (x,y+b)(x, y + b).

4
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Translation: Down −b-b

The translation rule that maps (x,y)(x, y) to (x,y−b)(x, y - b).

5
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Rotation: 90 degrees clockwise

The rotation rule that maps (x,y)(x, y) to (y,−x)(y, -x).

6
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Rotation: 180 degrees clockwise

The rotation rule that maps (x,y)(x, y) to (−x,−y)(-x, -y).

7
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Rotation: 270 degrees clockwise

The rotation rule that maps (x,y)(x, y) to (−y,x)(-y, x).

8
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Rotation: 90 degrees counterclockwise

The rotation rule that maps (x,y)(x, y) to (−y,x)(-y, x).

9
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Rotation: 180 degrees counterclockwise

The rotation rule that maps (x,y)(x, y) to (−x,−y)(-x, -y).

10
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Rotation: 270 degrees counterclockwise

The rotation rule that maps (x,y)(x, y) to (y,−x)(y, -x).

11
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Reflection: Over the x-axis

The reflection rule that maps (x,y)(x, y) to (x,−y)(x, -y).

12
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Reflection: Over the y-axis

The reflection rule that maps (x,y)(x, y) to (−x,y)(-x, y).

13
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Reflection: Over y=xy = x

The reflection rule that maps (x,y)(x, y) to (y,x)(y, x).

14
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Reflection: Over y=−xy = -x

The reflection rule that maps (x,y)(x, y) to (−y,−x)(-y, -x).