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This task involves rotating triangle \( ABC \) 120° clockwise around point \( B \). Let's break down the steps to perform the rotation:

1. **Rotation around point B:** Since \( B \) is the center of rotation, it will remain fixed in its current position. Only points \( A \) and \( C \) will move during the 120° clockwise rotation.

2. **120° clockwise rotation steps:**
   - For each point (\( A \) and \( C \)), measure the distance from \( B \), and then rotate this vector by 120° clockwise.
   - The new positions of \( A' \) and \( C' \) can be plotted on the grid, keeping their distance from \( B \) the same as the original.

3. **Labeling:** After the rotation, you will label the new triangle as \( A'B'C' \), 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:
1. How do you find the coordinates of points after rotation?
2. What are other rotation angles, and how would they affect the figure?
3. How can you verify if a rotation was performed correctly?
4. What happens when rotating a shape around a point not on the shape itself?
5. 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!

Here is triangle ABC. Draw the new image of triangle ABC after a rotation of 120° clockwise around point B. Shade the new image and label it A'B'C'.

Learn how to rotate a triangle 120° clockwise around a given point on a coordinate grid. This problem covers key geometric concepts, including rotations and transformations, with a step-by-step guide for performing the rotation of triangle ABC. Suitable for students in Grades 7-10.

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