Question

trapezoid e is a scaled copy of trapezoid d. what scale factor takes trapezoid d to trapezoid e?

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from trapezoid $D$ to trapezoid $E$ can be found by taking the ratio of corresponding side lengths. Let's use the non - parallel sides.

Step2: Calculate the scale factor

If we take the non - parallel side of length 5 in trapezoid $D$ and the corresponding non - parallel side of length 6 in trapezoid $E$, the scale factor $k=\frac{\text{length in }E}{\text{length in }D}$. So, $k = \frac{6}{5}=1.2$. We can double - check with another pair of corresponding sides. For the vertical sides, if we take the side of length 15 in trapezoid $D$ and the side of length 18 in trapezoid $E$, then $k=\frac{18}{15}=\frac{6}{5} = 1.2$.

Answer:

$1.2$