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The task involves rotating triangle \( ABC \) by 120° clockwise around point \( B \) and then labeling and shading the resulting triangle, \( A'B'C' \).

To perform the rotation:

1. Identify the triangle’s vertices: \( A \), \( B \), and \( C \). Point \( B \) remains fixed since the rotation is around this point.
   
2. Rotate each of the points \( A \) and \( C \) by 120° clockwise around \( B \) using the grid as a guide. A 120° clockwise rotation moves points along equilateral triangle steps, which aligns with the triangular grid.

3. Plot the new positions of \( A' \) and \( C' \) after the rotation. \( B \) stays in the same location, so \( B' \) will still be at point \( B \).

4. Draw the new triangle \( A'B'C' \), shade it, and label the points.

Would you like me to generate a visual of this rotated triangle for you?

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'.

This problem involves rotating a triangle 120° clockwise around a point. Learn how to rotate triangle ABC and determine the new positions of the vertices. Suitable for students in Grades 8-10 studying geometry and transformations.

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