1. **State the problem:** We need to translate triangle ABC using the coordinate rule $(x,y) \to (x - 2, y + 4)$. This means each point of the triangle will be shifted 2 units left and 4 units up. 2. **Identify original coordinates:** - Point A is at $(-5,1)$ - Point B is at $(-1,1)$ - Point C is at $(-3,5)$ 3. **Apply the translation rule:** For each point $(x,y)$, the new coordinates will be $(x - 2, y + 4)$. 4. **Calculate new coordinates:** - For A: $(-5 - 2, 1 + 4) = (-7, 5)$ - For B: $(-1 - 2, 1 + 4) = (-3, 5)$ - For C: $(-3 - 2, 5 + 4) = (-5, 9)$ 5. **Final answer:** The translated triangle ABC has vertices at $A'(-7,5)$, $B'(-3,5)$, and $C'(-5,9)$.