1. **State the problem:** We need to determine which transformation takes Triangle A, located in the bottom-right quadrant, to Triangle B, located in the top-left quadrant. 2. **Identify coordinates:** Approximate vertices of Triangle A are between $x=2$ to $6$ and $y=-7$ to $-3$. Triangle B is between $x=-8$ to $-5$ and $y=5$ to $8$. 3. **Check transformations:** The options are: - Counterclockwise rotation of 180° about the origin - Reflection over the line $y = -x$ - Counterclockwise rotation of 270° about the origin - Reflection over the line $y = x$ 4. **Apply 180° rotation about origin:** Rotation by 180° about the origin transforms any point $(x,y)$ to $(-x,-y)$. 5. **Test a vertex:** For example, point $(3,-6)$ in A would map to $(-3,6)$ after 180° rotation. 6. **Compare with B:** Triangle B vertices are around $(-8,5)$ to $(-5,8)$, which is not consistent with $(-3,6)$. 7. **Apply reflection over $y = -x$:** Reflection over $y = -x$ transforms $(x,y)$ to $(-y,-x)$. 8. **Test vertex:** $(3,-6)$ maps to $(6,-3)$, which is in the bottom-right quadrant, not top-left. 9. **Apply 270° rotation about origin:** Rotation by 270° counterclockwise transforms $(x,y)$ to $(y,-x)$. 10. **Test vertex:** $(3,-6)$ maps to $(-6,-3)$, which is bottom-left quadrant, not top-left. 11. **Apply reflection over $y = x$:** Reflection over $y = x$ transforms $(x,y)$ to $(y,x)$. 12. **Test vertex:** $(3,-6)$ maps to $(-6,3)$, which is in the top-left quadrant. 13. **Check all vertices:** This matches the position of Triangle B. **Final answer:** The transformation is a reflection over the line $y = x$.