1. **Problem Statement:** We have a shape with vertices A at (2,1) and B at (2,4). The shape is reflected about the line $y = -x$. We need to find the coordinates of the images of vertices A and B after this reflection. 2. **Reflection Formula:** Reflection about the line $y = -x$ transforms any point $(x,y)$ to $( -y, -x )$. 3. **Apply the formula to vertex A:** Original coordinates: $A = (2,1)$ Reflected coordinates: $A' = (-1, -2)$ 4. **Apply the formula to vertex B:** Original coordinates: $B = (2,4)$ Reflected coordinates: $B' = (-4, -2)$ 5. **Explanation:** Reflecting over the line $y = -x$ swaps the $x$ and $y$ coordinates and changes their signs. This flips the points across the diagonal line with slope $-1$. **Final answers:** - Vertex A maps to $(-1, -2)$ - Vertex B maps to $(-4, -2)$