https://file.aiquickdraw.com/mathbot/file/1727194279519bu3bm17s.jpg

To determine the scale factor from trapezoid \(D\) to trapezoid \(E\), we compare corresponding side lengths from the two trapezoids.

From the image:
- Side 1 of trapezoid \(D\) is 5, and the corresponding side in trapezoid \(E\) is 6.
- Side 2 of trapezoid \(D\) is 15, and the corresponding side in trapezoid \(E\) is 18.
- Side 3 of trapezoid \(D\) is 20, and the corresponding side in trapezoid \(E\) is 24.

To find the scale factor, divide the lengths of the corresponding sides in trapezoid \(E\) by those in trapezoid \(D\):

\[
\text{Scale factor} = \frac{\text{Side in trapezoid } E}{\text{Side in trapezoid } D}
\]

For Side 1:
\[
\frac{6}{5} = 1.2
\]

For Side 2:
\[
\frac{18}{15} = 1.2
\]

For Side 3:
\[
\frac{24}{20} = 1.2
\]

Since all the side ratios are the same, the scale factor from trapezoid \(D\) to trapezoid \(E\) is **1.2**.

Would you like further details on scale factors, or do you have any other questions?

### Related Questions:
1. What happens to the angles when you apply a scale factor to a polygon?
2. How do you find the area of trapezoid \(E\) if you know the area of trapezoid \(D\)?
3. How can you use a scale factor to convert between different units (e.g., cm to m)?
4. What would the scale factor be if trapezoid \(E\) was smaller than trapezoid \(D\)?
5. How does changing the scale factor affect the perimeter of a shape?

### Tip:
Always ensure that you're comparing corresponding sides when calculating a scale factor. This ensures consistent proportionality.

What scale factor takes trapezoid D to trapezoid E?

Learn how to calculate the scale factor from trapezoid D to trapezoid E by comparing corresponding sides. This geometry problem covers key concepts such as scale factors, ratios, and proportionality. Suitable for Grade 7 students.

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