https://file.aiquickdraw.com/mathbot/file/1726162486314kismzoic.jpg

From the image, you're working with a table that involves finding the scale factor between the side lengths of an original rectangle and a scaled copy. The side lengths for the original and corresponding scaled copies are given, and you need to determine the scale factor.

### Table Overview:

- **Original Rectangle Side Lengths**: 6 and 8
- **Corresponding Scaled Copy Side Lengths**: 3 and 4
- **Scale Factor**: To be determined.

### Step-by-Step Solution:

1. **Scale Factor for the first row (side length 6 and 3):**
   - Formula: \( \text{Scale Factor} = \frac{\text{Scaled Length}}{\text{Original Length}} \)
   - Here: \( \frac{3}{6} = 0.5 \)
   - So, the scale factor is **0.5**.

2. **Scale Factor for the second row (side length 8 and 4):**
   - Formula: \( \text{Scale Factor} = \frac{\text{Scaled Length}}{\text{Original Length}} \)
   - Here: \( \frac{4}{8} = 0.5 \)
   - So, the scale factor is again **0.5**.

### Final Answer:
- The scale factor for both rows is **0.5**.

Do you have any questions or would you like further clarification?

### Related Questions:
1. What would be the scale factor if the original side length was 10 and the scaled side was 5?
2. How do you calculate a scale factor when enlarging a shape?
3. If the scale factor is 2, what would be the corresponding side lengths for the original sides of 6 and 8?
4. How do area and perimeter change when you apply a scale factor to a shape?
5. What happens to angles when scaling a shape using a scale factor?

### Tip:
Always apply the scale factor uniformly to all dimensions of the shape to maintain its proportions.

What is the scale factor between the side lengths of the original rectangle and the corresponding scaled copy?

This problem involves finding the scale factor between the side lengths of an original rectangle and a scaled copy. Suitable for Grades 6-8, the problem covers key geometric concepts like scaling and ratio.

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