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To determine the scale factor between the two similar triangles, we compare the corresponding side lengths.

The triangles have the following corresponding side lengths:

- One pair of corresponding sides is 8 and 6.
- Another pair is 2 and 1.5.

We calculate the scale factor by dividing each pair of corresponding sides:

1. For the sides 8 and 6:
   \[
   \frac{6}{8} = \frac{3}{4}
   \]

2. For the sides 2 and 1.5:
   \[
   \frac{1.5}{2} = \frac{3}{4}
   \]

Both calculations give us a scale factor of \(\frac{3}{4}\).

Thus, the correct answer is:
- **\(\frac{3}{4}\)**

Would you like a further breakdown of this solution, or have any additional questions?

Here are some related questions that could help deepen your understanding:

1. How do you identify corresponding sides in similar triangles?
2. What are the properties of similar triangles?
3. How do you find the scale factor if only one pair of corresponding sides is known?
4. Can you calculate the scale factor if the triangles are not similar?
5. How does the scale factor affect the area of similar triangles?

**Tip:** When working with similar triangles, always confirm that corresponding angles are equal to ensure similarity before calculating the scale factor.

What is the scale factor for the similar triangles? Choose all that apply.

Learn how to calculate the scale factor between two similar triangles. Given side lengths of 8 and 6, as well as 2 and 1.5, this problem explores the concepts of similarity and proportion. Perfect for students in Grades 7-9.

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