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Questions and Answers
What is the rule for a 90° rotation counterclockwise?
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?
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?
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?
What is the rule for a 360° rotation?
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What is the rule for reflection across the line y=x?
What is the rule for reflection across the line y=x?
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What is the rule for reflection across the line y=-x?
What is the rule for reflection across the line y=-x?
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What is the rule for translation a units to the right?
What is the rule for translation a units to the right?
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What is the rule for translation a units to the left?
What is the rule for translation a units to the left?
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What is the rule for translation b units up?
What is the rule for translation b units up?
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What is the rule for translation b units down?
What is the rule for translation b units down?
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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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