1. **Problem Statement:** We have a triangle in the lower-left quadrant with vertices approximately at $(-1,-1)$, $(-5,-5)$, and $(-5,-1)$. We want to find the image of this triangle after a 90° clockwise rotation about the origin. 2. **Rotation Formula:** A 90° clockwise rotation about the origin transforms any point $(x,y)$ to $(y,-x)$. 3. **Apply the rotation to each vertex:** - For $(-1,-1)$: $$(-1,-1) \to (-1,1)$$ - For $(-5,-5)$: $$(-5,-5) \to (-5,5)$$ - For $(-5,-1)$: $$(-5,-1) \to (-1,5)$$ 4. **New vertices:** The rotated triangle has vertices at $(-1,1)$, $(-5,5)$, and $(-1,5)$. 5. **Location of the rotated triangle:** These points lie in the upper-left quadrant. 6. **Match with options:** Looking at the options, the triangle in the upper-left quadrant with vertices near $(-5,3)$ and $(-1,5)$ corresponds to option C. **Final answer:** The correct choice is **C**. This is because the rotation formula $(x,y) \to (y,-x)$ moves the triangle from the lower-left quadrant to the upper-left quadrant, matching option C's position and shape.