https://file.aiquickdraw.com/mathbot/file/1726458305066dttcn4m3.jpg

The image shows two triangles, with the one on the right being a scaled copy of the one on the left. The triangle on the left has side lengths of 9, and the triangle on the right has side lengths of 36.

To find the scale factor, we can divide a corresponding side of the larger triangle by the corresponding side of the smaller triangle.

\[
\text{Scale factor} = \frac{\text{Side of larger triangle}}{\text{Side of smaller triangle}} = \frac{36}{9} = 4
\]

Thus, the scale factor is **4**.

Would you like further details or have any questions?

Here are some related questions:
1. What happens to the area of a triangle when the scale factor is applied?
2. How do you find the scale factor if one triangle is reduced in size?
3. How would you describe the relationship between the side lengths and the perimeter after scaling?
4. Can you apply the same method for non-equilateral triangles?
5. What would the scale factor be if the larger triangle's side was 18 instead of 36?

**Tip:** Remember, scaling affects both the side lengths and the area, but the area scales by the square of the scale factor!

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.

Learn how to find the scale factor between two similar triangles. This problem involves using proportions and the scale factor formula, where the larger triangle has side lengths of 36 and the smaller triangle has side lengths of 9. Perfect for Grades 7-8 geometry students.

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