Question: Level J R.4 Translations: find the coordinates RUP
Write the coordinates of the vertices after a translation 2 units left and 9 units down.
C′(__, __)
D′(__, __)
E′(__, __)
Graph shape: triangle CDE in the center-left of the coordinate plane, with vertices C at $(-1, 6)$, D at $(6, 6)$, and E at $(-4, -1)$; position_hint = center.
solve it
1. **State the problem:** We need to find the new coordinates of the vertices $C$, $D$, and $E$ after translating the triangle 2 units left and 9 units down.
2. **Recall the translation rule:** Translating a point $(x, y)$ by $a$ units left and $b$ units down means the new coordinates are $(x - a, y - b)$.
3. **Apply the translation to each vertex:**
- For $C(-1, 6)$:
$$C' = (-1 - 2, 6 - 9) = (-3, -3)$$
- For $D(6, 6)$:
$$D' = (6 - 2, 6 - 9) = (4, -3)$$
- For $E(-4, -1)$:
$$E' = (-4 - 2, -1 - 9) = (-6, -10)$$
4. **Final answer:**
$$C'(-3, -3), D'(4, -3), E'(-6, -10)$$