Class 8 Exam > Class 8 Notes > Know Your Aptitude Class 6 To 8 > Worksheet: Rotation of Objects - 2
Worksheet: Rotation of Objects - 2 | Know Your Aptitude Class 6 To 8 - Class 8 PDF Download
Rotate the Point
Q: Graph the new position of each point after rotating it about the origin.
You can access the solutions to this worksheet here.
The document Worksheet: Rotation of Objects - 2 | Know Your Aptitude Class 6 To 8 - Class 8 is a part of the Class 8 Course Know Your Aptitude Class 6 To 8.
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FAQs on Worksheet: Rotation of Objects - 2 - Know Your Aptitude Class 6 To 8 - Class 8
| 1. What is the concept of rotating a point in a coordinate system? |  |
Ans.Rotating a point in a coordinate system involves changing its position based on a specified angle around a fixed point, usually the origin. This is often calculated using trigonometric functions, where the new coordinates (x', y') can be found using the rotation formulas: x' = x * cos(θ) - y * sin(θ) and y' = x * sin(θ) + y * cos(θ), where θ is the angle of rotation.
| 2. How do you rotate a point 90 degrees counterclockwise? | |
Ans.To rotate a point 90 degrees counterclockwise, you can use the rotation formulas. For a point (x, y), the new coordinates will be (-y, x). This means that if you have a point at (3, 2), after a 90-degree counterclockwise rotation, the new coordinates will be (-2, 3).
| 3. What are the steps to rotate multiple points around a center point? | |
Ans.To rotate multiple points around a center point, follow these steps:
1. Translate each point so that the center point is at the origin by subtracting the center point's coordinates from each point.
2. Apply the rotation formulas to each translated point.
3. Translate the points back by adding the center point's coordinates to the rotated points.
| 4. Can you explain the difference between clockwise and counterclockwise rotations? | |
Ans.Clockwise rotation moves points in the same direction as the hands of a clock, while counterclockwise rotation moves points in the opposite direction. When using rotation angles, positive angles typically represent counterclockwise rotations, whereas negative angles indicate clockwise rotations.
| 5. What applications do point rotations have in real life? | |
Ans.Point rotations have various applications in real life, including computer graphics for rendering images, robotics for path planning, and in navigation systems for determining directions. They are also essential in architecture and engineering for designing and visualizing structures.
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Oct 12, 2025
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