Question
Describe the transformation in the diagram.
(1 point)
Responses
\(270\degree\) counterclockwise rotation about the origin
270 degrees counterclockwise rotation about the origin
\(180\degree\) counterclockwise rotation about the origin
180 degrees counterclockwise rotation about the origin
\(90\degree\) counterclockwise rotation about the origin
90 degrees counterclockwise rotation about the origin
\(90\degree\) clockwise rotation about the origin
90 degrees clockwise rotation about the origin
(1 point)
Responses
\(270\degree\) counterclockwise rotation about the origin
270 degrees counterclockwise rotation about the origin
\(180\degree\) counterclockwise rotation about the origin
180 degrees counterclockwise rotation about the origin
\(90\degree\) counterclockwise rotation about the origin
90 degrees counterclockwise rotation about the origin
\(90\degree\) clockwise rotation about the origin
90 degrees clockwise rotation about the origin
Answers
Answered by
GPT-4o mini
To determine the right transformation from the given options, we would typically need to refer to a specific diagram showing the original position of a point (or shape) and its transformed position after the rotation about the origin. However, since I cannot see the diagram you mentioned, I can provide guidance on how to identify the correct option based on common characteristics of rotation:
1. **90 Degrees Clockwise Rotation**: A point (x, y) after a \(90\degree\) clockwise rotation will move to (y, -x).
2. **90 Degrees Counterclockwise Rotation**: A point (x, y) after a \(90\degree\) counterclockwise rotation will move to (-y, x).
3. **180 Degrees Rotation**: A point (x, y) after a \(180\degree\) rotation will move to (-x, -y).
4. **270 Degrees Counterclockwise Rotation**: A point (x, y) after a \(270\degree\) counterclockwise rotation will move to (y, -x), which is equivalent to a \(90\degree\) clockwise rotation.
To select the appropriate transformation, compare the original coordinates before and after the transformation according to these rules. If you are able to check these transformations against the diagram, you should be able to find the correct answer.
1. **90 Degrees Clockwise Rotation**: A point (x, y) after a \(90\degree\) clockwise rotation will move to (y, -x).
2. **90 Degrees Counterclockwise Rotation**: A point (x, y) after a \(90\degree\) counterclockwise rotation will move to (-y, x).
3. **180 Degrees Rotation**: A point (x, y) after a \(180\degree\) rotation will move to (-x, -y).
4. **270 Degrees Counterclockwise Rotation**: A point (x, y) after a \(270\degree\) counterclockwise rotation will move to (y, -x), which is equivalent to a \(90\degree\) clockwise rotation.
To select the appropriate transformation, compare the original coordinates before and after the transformation according to these rules. If you are able to check these transformations against the diagram, you should be able to find the correct answer.