How to find the scale factor of two triangles

Here's how to do it.  

Step-by-step explanation:

The two triangles must be similar, that is, corresponding angles must be equal, as in the diagram below.

1. Find a corresponding pair of sides

Assume that ∆ABC is the original and ∆DEF is its scaled image.

Then, AB and DE are corresponding sides, with lengths of 8 and 12 units , respectively.

2. Set up a ratio

Ratio = side length in image/side length in original = 12/8

3. Simplify the ratio

The simplified ratio is the scale factor (SF).

SF = 12/8 = 3/2 = 1.5

The scale factor is 1.5.

where are the choices?

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )