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Questions and Answers
What is the rule for a 90° counter clockwise rotation about the origin?
What is the rule for a 90° counter clockwise rotation about the origin?
(x,y)→(-y,x)
What is the rule for a 180° counter clockwise rotation about the origin?
What is the rule for a 180° counter clockwise rotation about the origin?
(x,y)→(-x,-y)
What is the rule for a 270° counter clockwise rotation about the origin?
What is the rule for a 270° counter clockwise rotation about the origin?
(x,y)→(y,-x)
A 90° counter clockwise rotation about the origin is the same as...
A 90° counter clockwise rotation about the origin is the same as...
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A 270° counter clockwise rotation about the origin is the same as...
A 270° counter clockwise rotation about the origin is the same as...
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A 180° counter clockwise rotation about the origin is the same as...
A 180° counter clockwise rotation about the origin is the same as...
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Study Notes
Rotation Rules
- A 90⁰ counterclockwise rotation about the origin transforms the point (x,y) to (-y,x).
- A 180⁰ counterclockwise rotation at the origin changes the coordinates (x,y) to (-x,-y).
- A 270⁰ counterclockwise rotation results in the point (x,y) becoming (y,-x).
Equivalent Rotations
- A 90⁰ counterclockwise rotation is equivalent to a 270⁰ clockwise rotation around the origin.
- A 270⁰ counterclockwise rotation is the same as a 90⁰ clockwise rotation about the origin.
- A 180⁰ counterclockwise rotation is identical to a 180⁰ clockwise rotation at the origin.
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Description
This quiz covers the rules of rotation in geometry, focusing on 90°, 180°, and 270° counterclockwise rotations around the origin. It also explores equivalent rotations and their relationships. Test your understanding of these geometric transformations.
