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Questions and Answers
What is the transformation of a 90° clockwise rotation for the point (x,y)?
What is the transformation of a 90° clockwise rotation for the point (x,y)?
- (-y,x)
- (x,-y)
- (-x,y)
- (y,-x) (correct)
What is the transformation of a 90° counterclockwise rotation for the point (x,y)?
What is the transformation of a 90° counterclockwise rotation for the point (x,y)?
- (-x,y)
- (x,-y)
- (y,-x)
- (-y,x) (correct)
What is the transformation of a 270° clockwise rotation for the point (x,y)?
What is the transformation of a 270° clockwise rotation for the point (x,y)?
- (y,-x) (correct)
- (-y,x)
- (-x,y)
- (x,-y)
What is the transformation of a 270° counterclockwise rotation for the point (x,y)?
What is the transformation of a 270° counterclockwise rotation for the point (x,y)?
What happens to the coordinates (x,y) when reflected over the y-axis?
What happens to the coordinates (x,y) when reflected over the y-axis?
What happens to the coordinates (x,y) when reflected over the x-axis?
What happens to the coordinates (x,y) when reflected over the x-axis?
What is the transformation for the equation y = x?
What is the transformation for the equation y = x?
What is the transformation for the equation y = -x?
What is the transformation for the equation y = -x?
What is the transformation for a 180° rotation (clockwise/counterclockwise) for the point (x,y)?
What is the transformation for a 180° rotation (clockwise/counterclockwise) for the point (x,y)?
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Study Notes
Rotations
- A 90° clockwise rotation transforms the point (x, y) to (y, -x).
- A 90° counterclockwise rotation changes the point (x, y) to (-y, x).
- A 270° clockwise rotation results in the same transformation as a 90° counterclockwise rotation: (x, y) to (y, -x).
- A 270° counterclockwise rotation results in the same transformation as a 90° clockwise rotation: (x, y) to (-y, x).
Reflections
- Reflecting over the y-axis changes the x-coordinate: (x, y) becomes (-x, y).
- Reflecting over the x-axis changes the y-coordinate: (x, y) becomes (x, -y).
Line Transformations
- The line represented by y = x swaps the coordinates, transforming (x, y) to (y, x).
- The line represented by y = -x negates both coordinates, transforming (x, y) to (-y, -x).
180° Rotation
- A 180° rotation, whether clockwise or counterclockwise, changes the point (x, y) to (-x, -y).
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