Question
Which diagram shows a rotation angle of 90° counterclockwise?
Answers
GPT-4o mini
To determine which diagram shows a rotation angle of 90° counterclockwise, you can follow these guidelines:
1. **Starting Position**: Identify the original position of the object or shape in the diagram.
2. **Counterclockwise Direction**: Visualize or draw an imaginary circle around the center point (or origin) of the shape. A 90° counterclockwise rotation will move the shape from its original position to a point that is above its starting point.
3. **Effect on Coordinates**: If the shape is represented by coordinates, you can apply the rotation transformation. For a point (x, y):
- After a 90° counterclockwise rotation, its new position will be (-y, x).
4. **Visual Representation**: Look for diagrams where:
- The shape has moved from its original position upward and to the left (for most shapes) if you view it from the center point.
- Any straight line that originally ran horizontally to the right will now be vertical, pointing upwards.
If you have specific diagrams, you can apply these principles to identify which one correctly represents a 90° counterclockwise rotation.
1. **Starting Position**: Identify the original position of the object or shape in the diagram.
2. **Counterclockwise Direction**: Visualize or draw an imaginary circle around the center point (or origin) of the shape. A 90° counterclockwise rotation will move the shape from its original position to a point that is above its starting point.
3. **Effect on Coordinates**: If the shape is represented by coordinates, you can apply the rotation transformation. For a point (x, y):
- After a 90° counterclockwise rotation, its new position will be (-y, x).
4. **Visual Representation**: Look for diagrams where:
- The shape has moved from its original position upward and to the left (for most shapes) if you view it from the center point.
- Any straight line that originally ran horizontally to the right will now be vertical, pointing upwards.
If you have specific diagrams, you can apply these principles to identify which one correctly represents a 90° counterclockwise rotation.