Positive and negative rotaion of points example
Khan Academy・2 minutes read
Point C is the image of point P after being rotated around the origin by 60 degrees, maintaining the same distance from the origin. Point A is the image of point P after being rotated by negative 90 degrees clockwise around the indicated center of rotation.
Insights
- Rotation of a point around the origin by 60 degrees maintains the distance from the origin, while a negative 90-degree clockwise rotation around a specified center of rotation results in a different image point.
- Understanding the effects of specific angles and directions of rotation on points in a coordinate system is crucial for accurately determining their new positions relative to the origin and designated centers of rotation.
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Recent questions
What is the definition of rotation in geometry?
Rotation in geometry refers to the transformation of a figure around a fixed point, known as the center of rotation, by a certain angle.
How does a negative rotation affect a point?
A negative rotation in geometry indicates a clockwise rotation, meaning the point is rotated in the opposite direction of a standard counterclockwise rotation.
What does it mean for two points to be images of each other after rotation?
When two points are images of each other after rotation, it means that one point has been transformed into the other through a rotation around a specific center.
How does the distance from the origin change during a rotation?
The distance from the origin remains constant during a rotation, meaning that the point maintains the same distance from the center of rotation throughout the transformation.
What is the significance of the center of rotation in geometry?
The center of rotation in geometry serves as the fixed point around which a figure is rotated, determining the direction and angle of the transformation.
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Summary
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Rotations of Point P around Origin and Center
- Point C is the image of point P after being rotated around the origin by 60 degrees, maintaining the same distance from the origin. Point A is the image of point P after being rotated by negative 90 degrees clockwise around the indicated center of rotation.
