$$ (x, y) \rightarrow(x-9, y-5) $$ Progress: $$ 1 / 2 $$, Write the coordinates of $$ A^{\prime}, B^{\prime} $$, and $$ C^{\prime} $$ : Part 2 of 2 (b) $$ A^{\prime}(\square, \square) $$ $$ B^{\prime}(\square, \square) $$ $$ C^{\prime}(\square, \square) $$

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To determine the coordinates of the translated points $$ A^{\prime} $$, $$ B^{\prime} $$, and $$ C^{\prime} $$ using the given translation rule $$ (x, y) \rightarrow (x - 9, y - 5) $$, follow these steps:

### Translation Rule:
$$ (x, y) \rightarrow (x - 9, y - 5) $$

This means that for any point $$(x, y)$$, the translated point $$(x', y')$$ is obtained by subtracting 9 from the original $$x$$-coordinate and 5 from the original $$y$$-coordinate.

### Applying the Translation:

Assume you have the original coordinates of points $$ A $$, $$ B $$, and $$ C $$ as follows:
- $$ A(x_A, y_A) $$
- $$ B(x_B, y_B) $$
- $$ C(x_C, y_C) $$

Applying the translation rule to each point:

1. **Point $$ A^{\prime} $$:**
   $$
   A^{\prime}(x_A - 9, y_A - 5)
   $$
   
2. **Point $$ B^{\prime} $$:**
   $$
   B^{\prime}(x_B - 9, y_B - 5)
   $$
   
3. **Point $$ C^{\prime} $$:**
   $$
   C^{\prime}(x_C - 9, y_C - 5)
   $$

### Final Coordinates:

Without the specific original coordinates of $$ A $$, $$ B $$, and $$ C $$, we can express the translated coordinates in terms of their original positions:

- $$ A^{\prime}(\mathbf{x_A - 9}, \mathbf{y_A - 5}) $$
- $$ B^{\prime}(\mathbf{x_B - 9}, \mathbf{y_B - 5}) $$
- $$ C^{\prime}(\mathbf{x_C - 9}, \mathbf{y_C - 5}) $$

**Example:**

If the original points are:
- $$ A(10, 15) $$
- $$ B(20, 25) $$
- $$ C(30, 35) $$

After applying the translation:
- $$ A^{\prime}(10 - 9, 15 - 5) = A^{\prime}(1, 10) $$
- $$ B^{\prime}(20 - 9, 25 - 5) = B^{\prime}(11, 20) $$
- $$ C^{\prime}(30 - 9, 35 - 5) = C^{\prime}(21, 30) $$

**Please provide the original coordinates of points $$ A $$, $$ B $$, and $$ C $$ if you need specific translated coordinates.**
$$ A^{\prime}(x_A - 9, y_A - 5) $$, $$ B^{\prime}(x_B - 9, y_B - 5) $$, $$ C^{\prime}(x_C - 9, y_C - 5) $$

\( (x, y) \rightarrow(x-9, y-5) \) Progress: \( 1 / 2 \), Write the coordinates of \( A^{\prime}, B^{\prime} \), and \( C^{\prime} \) : Part 2 of 2 (b) \( A^{\prime}(\square, \square) \) \( B^{\prime}(\square, \square) \) \( C^{\prime}(\square, \square) \)

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