https://file.aiquickdraw.com/mathbot/file/17256424309752rfroe4w.jpg

To determine the scale factor from Figure A to Figure B, we need to compare the corresponding side lengths of the two figures.

The corresponding sides given in the image are:

- Figure A: 10, 32, and 22
- Figure B: 20, 64, and 44

The scale factor is the ratio of any side length in Figure B to the corresponding side length in Figure A. Let's calculate the scale factor using one pair of corresponding sides:

\[
\text{Scale factor} = \frac{\text{Side length in Figure B}}{\text{Corresponding side length in Figure A}}
\]

We'll calculate the scale factor for each pair of corresponding sides and verify they are consistent.

1. \( \frac{20}{10} = 2 \)
2. \( \frac{64}{32} = 2 \)
3. \( \frac{44}{22} = 2 \)

The scale factor from Figure A to Figure B is **2**.

Would you like further details or explanations? Here are five related questions to expand on this topic:

1. How do you determine if two figures are similar?
2. What are the properties of similar triangles?
3. Can the scale factor ever be negative? Why or why not?
4. How does changing the scale factor affect the area of similar figures?
5. How can you use the scale factor to find missing side lengths in similar figures?

**Tip:** When scaling a figure, all corresponding angles remain the same, and the ratio of all corresponding side lengths equals the scale factor.

What is the scale factor from Figure A to Figure B?

Learn how to calculate the scale factor between two similar figures, Figure A and Figure B, by comparing corresponding side lengths. This problem explains the concept of similarity and proportions in geometry, using a step-by-step approach. Suitable for Grades 6-8.

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