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To determine the scale factor between figures \( A \) and \( B \), we need to compare corresponding dimensions of both shapes. Here is the step-by-step approach:

1. **Count the number of grid units** for a clear dimension in both figures \( A \) and \( B \). Let's pick an easy-to-see length, such as the height or width of a distinct section.
   - In Figure \( A \), let's consider the height of the vertical rectangular section (the side of the large box on the left). This side is 4 grid units tall.
   - In Figure \( B \), the corresponding vertical side of the smaller box is 2 grid units tall.

2. **Find the ratio of the two corresponding dimensions**:
   \[
   \text{Scale Factor} = \frac{\text{Dimension of Figure B}}{\text{Dimension of Figure A}} = \frac{2}{4} = \frac{1}{2}
   \]

So, the scale factor that takes \( A \) to \( B \) is **1/2**.

Would you like further details on scale factors or related questions?

Here are five questions to further explore the concept:
1. How does the scale factor affect the area of the scaled figure?
2. If figure \( A \) was scaled up by a factor of 3, what would the new dimensions be?
3. Can a scale factor ever be negative? Why or why not?
4. What happens to the perimeter of a shape when scaled by a factor of \( k \)?
5. How does scaling affect non-rectangular figures?

**Tip:** Always check that the scale factor is consistent by comparing multiple corresponding dimensions from both figures!

What scale factor takes Figure A to Figure B?

Learn how to calculate the scale factor between two scaled figures by comparing corresponding dimensions. This problem covers key geometric concepts, including ratios and similarity, suitable for Grades 6-8 students.

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