Answer:
scale factor(k) = 2
Step-by-step explanation:
To find the scale factor that relates the measurements of the smaller triangle to the larger triangle, we can compare the ratios of corresponding sides.
Let's denote the scale factor as k.
For the first pair of corresponding sides:
- Smaller triangle side: 2 inches
- Larger triangle side: 4 inches
[tex] k = \dfrac{\textsf{larger side}}{\textsf{smaller side}} = \dfrac{4}{2} = 2 [/tex]
For the second pair of corresponding sides:
- Smaller triangle side: 2.5 inches
- Larger triangle side: 5 inches
[tex] k = \dfrac{\textsf{larger side}}{\textsf{smaller side}} = \dfrac{5}{2.5} = 2 [/tex]
Since both ratios are equal to 2, it means that the scale factor that relates the measurements of the smaller triangle to the larger triangle is k = 2.
