Math Problem Statement
Solution
This task involves rotating triangle 120° clockwise around point . Let's break down the steps to perform the rotation:
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Rotation around point B: Since is the center of rotation, it will remain fixed in its current position. Only points and will move during the 120° clockwise rotation.
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120° clockwise rotation steps:
- For each point ( and ), measure the distance from , and then rotate this vector by 120° clockwise.
- The new positions of and can be plotted on the grid, keeping their distance from the same as the original.
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Labeling: After the rotation, you will label the new triangle as , and shade this new triangle.
Would you like a detailed explanation on how to manually rotate points using a coordinate system, or should I assist with a more specific step from this? Let me know if you want to dive into any specific details of the process.
Here are 5 related questions:
- How do you find the coordinates of points after rotation?
- What are other rotation angles, and how would they affect the figure?
- How can you verify if a rotation was performed correctly?
- What happens when rotating a shape around a point not on the shape itself?
- How would a counterclockwise rotation differ from a clockwise one?
Tip: When rotating figures, use tracing paper to align the shape before and after rotation to visualize the transformation easily!
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Math Problem Analysis
Mathematical Concepts
Geometry
Transformations
Rotations
Formulas
Rotation formula: (x', y') = (x*cos(θ) - y*sin(θ), x*sin(θ) + y*cos(θ))
Clockwise rotation for 120°
Theorems
Rotation transformation theorem
Properties of rotations
Suitable Grade Level
Grades 7-10