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The problem asks for the scale factor of two similar triangles.

To find the scale factor between the triangles, we compare the corresponding side lengths:

- The larger triangle has sides of length 8 and 2.
- The smaller triangle has sides of length 6 and 1.5.

Let's take the ratio of the corresponding sides:

1. \( \frac{6}{8} = \frac{3}{4} \) for the longer sides.
2. \( \frac{1.5}{2} = \frac{3}{4} \) for the shorter sides.

Both ratios simplify to \( \frac{3}{4} \), so the scale factor is \( \frac{3}{4} \).

Since the question asks to "choose all that apply," the correct choice is \( \frac{3}{4} \).

Would you like any more details or further clarification?

Here are 5 related questions you might explore:

1. How do we determine if triangles are similar?
2. What is the significance of a scale factor in similar triangles?
3. Can the scale factor ever be greater than 1?
4. How can we apply scale factors in real-world problems?
5. How do side lengths change when the scale factor is applied?

**Tip:** When working with similar triangles, always ensure to match corresponding sides carefully to find the correct scale factor.

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

Learn how to find the scale factor for similar triangles by comparing the ratio of corresponding sides. This geometry problem focuses on understanding triangle similarity and applying the ratio theorem. Suitable for students in Grades 7-9.

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