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.