Question

which diagram shows δqrs rotated 150° counterclockwise about s?

Explanation:

Step1: Check rotation center

Rotation is about point \( S \), so \( S \) stays fixed in both triangles.

Step2: Check rotation direction and angle

150° counterclockwise rotation means the image (\( \Delta Q'R'S \)) should be positioned counterclockwise from \( \Delta QRS \) around \( S \), with each segment (e.g., \( SQ \) to \( SQ' \), \( SR \) to \( SR' \)) forming a 150° angle. The lower diagram shows \( \Delta Q'R'S \) in the correct counterclockwise orientation relative to \( \Delta QRS \) around \( S \).

Answer:

The lower diagram (with the hand icon)