Questions and Answers
What is the transformation represented by (x,y) --> (x+5, y+7)?
What is the transformation represented by (x,y) --> (x-2, y-6)?
What is the transformation represented by (x,y) --> (x, -y)?
What is the transformation represented by (x,y) --> (-y, x)?
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What is represented by the term 'isometric slide'?
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What is the transformation represented by (x,y) --> (3x, 3y)?
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What is the transformation represented by (x,y) --> (-x, y)?
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What is the transformation represented by (x,y) --> (-x, -y)?
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What is the transformation represented by (x,y) --> (x/2, y/2)?
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What is the transformation represented by (x,y) --> (y, x)?
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What does 'isometric flip' refer to?
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What does 'isometric turn' refer to?
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What does 'stretch or shrink' refer to?
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Study Notes
Translations
- Translation right 5, up 7: Moves a point (x,y) to (x+5, y+7).
- Translation left 2, down 6: Moves a point (x,y) to (x-2, y-6).
Reflections
- Reflection over the x-axis: Changes the point (x,y) to (x, -y).
- Reflection over the y-axis: Changes the point (x,y) to (-x, y).
- Reflection over the line y = x: Swaps coordinates, changing (x,y) to (y, x).
- Reflection over the line y = -x: Inverts both coordinates, changing (x,y) to (-y, -x).
Rotations
- Rotation 90 degrees clockwise: Changes (x,y) to (y, -x).
- Rotation 90 degrees counterclockwise: Changes (x,y) to (-y, x).
- Rotation 180 degrees: Changes (x,y) to (-x, -y).
Dilations
- Dilation by a scale factor of 3: Enlarges a point (x,y) to (3x, 3y).
- Dilation by a scale factor of 1/2: Reduces a point (x,y) to (x/2, y/2).
Geometric Transformations
- Translation: Described as an isometric slide, maintains shape and size.
- Reflection: Defined as an isometric flip, maintains size while changing orientation.
- Rotation: Described as an isometric turn, maintains distances and angles.
- Dilation: Defined as a stretch or shrink, alters size while maintaining proportion.
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Description
Test your knowledge of geometric transformations including translations, reflections, rotations, and dilations. This quiz covers how to apply these transformations to points in a coordinate plane. Perfect for geometry students looking to reinforce their understanding.
