Questions and Answers
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?
(x,y)→(-x,-y)
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...
Signup and view all the answers
A 270° counter clockwise rotation about the origin is the same as...
Signup and view all the answers
A 180° counter clockwise rotation about the origin is the same as...
Signup and view all the answers
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.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
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.
