# Determining The Scale Factor Of Similar Figures

Watch and learn how to determine the scale factor between a pair of similar figures.

To determine the scale factor between two similar triangles, you can compare the corresponding sides of the triangles.

Given two similar triangles $$A$$ and $$B$$:

1. Identify Corresponding Sides: First, identify corresponding sides between the two triangles. In similar triangles, corresponding sides are proportional.

2. Calculate Scale Factor: To find the scale factor from $$A$$ to $$B$$, divide the length of a corresponding side of triangle $$B$$ by the length of the corresponding side of triangle $$A$$. Similarly, to find the scale factor from $$B$$ to $$A$$, divide the length of a corresponding side of triangle $$A$$ by the length of the corresponding side of triangle $$B$$.

Let's apply these steps to the given triangles:

Triangle $$A$$:
- Height = 4
- Base = 8

Triangle $$B$$:
- Height = 3
- Base = 6

To find the scale factor from $$A$$ to $$B$$:
- Compare the height of $$B$$ to the height of $$A$$: $$3 \div 4 = 0.75$$
- Compare the base of $$B$$ to the base of $$A$$: $$6 \div 8 = 0.75$$

So, the scale factor from $$A$$ to $$B$$ is $$0.75$$, which means that the corresponding sides of triangle $$B$$ are $$0.75$$ times the length of the corresponding sides of triangle $$A$$.

To find the scale factor from $$B$$ to $$A$$:
- Compare the height of $$A$$ to the height of $$B$$: $$4 \div 3 = 1.33$$
- Compare the base of $$A$$ to the base of $$B$$: $$8 \div 6 = 1.33$$

So, the scale factor from $$B$$ to $$A$$ is $$1.33$$, which means that the corresponding sides of triangle $$A$$ are $$1.33$$ times the length of the corresponding sides of triangle $$B$$.