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.