Subjects geometry

Translation Rule 660Fca

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We have a line segment VW with endpoints approximately at $(-2,8)$ and $(-2,0)$. 2. The translated line segment V'W' has endpoints approximately at $(-8,-2)$ and $(-8,-10)$. 3. **Find the translation rule:** A translation moves every point $(x,y)$ to a new point $(x + a, y + b)$ where $a$ and $b$ are constants. 4. Calculate the horizontal shift $a$: $$a = -8 - (-2) = -8 + 2 = -6$$ 5. Calculate the vertical shift $b$: $$b = -2 - 8 = -10$$ 6. **Translation rule:** $$(x,y) \to (x - 6, y - 10)$$ This means every point on VW is moved 6 units left and 10 units down to get V'W'.