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Questions and Answers
What is the algebraic representation of translation?
What is the algebraic representation of translation?
- (x,y)~(x+a, y+b) (correct)
- (x,y)~(y, -x)
- (x,y)~(-x, y)
- (x,y)~(-y,x)
What is the algebraic representation of reflection over the x-axis?
What is the algebraic representation of reflection over the x-axis?
- (x,y)~(x, -y) (correct)
- (x,y)~(-x, y)
- (x,y)~(x+a, y+b)
- (x,y)~(-y, x)
What is the algebraic representation of reflection over the y-axis?
What is the algebraic representation of reflection over the y-axis?
- (x,y)~(-y, x)
- (x,y)~(x+a, y+b)
- (x,y)~(-x, y) (correct)
- (x,y)~(y, -x)
What is the algebraic representation of a 90 degree clockwise rotation about the origin?
What is the algebraic representation of a 90 degree clockwise rotation about the origin?
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What is the algebraic representation of a 180 degree clockwise rotation about the origin?
What is the algebraic representation of a 180 degree clockwise rotation about the origin?
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What is the algebraic representation of a 270 degree clockwise rotation about the origin?
What is the algebraic representation of a 270 degree clockwise rotation about the origin?
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Study Notes
Algebraic Representations of Transformations
- Translation: Represents movement of a point without rotation. The point (x,y) translates to (x+a, y+b).
- Reflection over the x-axis: Reflects points by inverting the y-coordinate. The transformation changes (x,y) to (x,-y).
- Reflection over the y-axis: Inverts the x-coordinate for reflection across the y-axis. The transformation converts (x,y) to (-x,y).
- 90 Degree Clockwise Rotation: Points are rotated 90 degrees clockwise around the origin, transforming (x,y) to (y,-x).
- 180 Degree Clockwise Rotation: A point rotates halfway around the origin; (x,y) is transformed to (-x,-y).
- 270 Degree Clockwise Rotation: This rotation results in a transformation from (x,y) to (-y,x), effectively turning points around the origin three-quarters of the way.
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