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The image shows a rectangle with vertices labeled \( A \), \( B \), \( C \), and \( D \). The question asks for the length of side \( \overline{BC} \) on a scaled copy of the rectangle. However, to answer this, we first need to determine the original length of \( \overline{BC} \) in the grid and how the rectangle is being scaled.

From the grid, we can count that:

- \( \overline{BC} \) is the vertical side of the rectangle.
- \( \overline{BC} \) spans 6 grid units.

Now, without knowing the scale factor explicitly, we can't find the exact length of \( \overline{BC} \) on the scaled rectangle. If you know the scale factor, you can multiply the original length (6 units) by that scale factor to get the length of \( \overline{BC} \) in the scaled rectangle.

Do you have the scale factor for the transformation? Or would you like more information on how to apply scaling to geometric figures?

Here are 5 relative questions:
1. What is a scale factor, and how is it used in geometry?
2. How do you find the scale factor between two similar figures?
3. How can you use proportions to find unknown side lengths in similar shapes?
4. What is the relationship between perimeter and scaling in geometric shapes?
5. How does the area of a shape change when it is scaled by a factor?

**Tip**: Remember that when scaling figures, all dimensions (lengths, widths, etc.) change by the same scale factor, but areas scale by the square of the scale factor!

What could be the length of the side that corresponds with BC on the scaled copy of the rectangle?

Understand how to find the length of side BC in a rectangle when the rectangle is scaled. Learn about scaling, similar figures, and the importance of the scale factor. Ideal for middle school students.

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