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?