Question

1. scale factor = ____

small triangle (original) with sides 3, 4, 5; larger triangle with sides 6, 8, 10

Explanation:

Step1: Identify corresponding sides

The original triangle has sides 3, 4, 5. The scaled triangle has sides 6, 8, 10.

Step2: Calculate scale factor

Scale factor is the ratio of a side of the scaled triangle to the corresponding side of the original triangle. Let's take the vertical side: $\frac{6}{3} = 2$. We can check with other sides: $\frac{8}{4} = 2$ and $\frac{10}{5} = 2$.

Answer:

2