Question

trapezoid e is a scaled copy of trapezoid d. what scale factor takes trapezoid d to trapezoid e? trapezoid d: 15, 5, 20. trapezoid e: 18, 6, 24.

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from trapezoid $D$ to trapezoid $E$ for corresponding sides is given by $k=\frac{\text{side length in }E}{\text{side length in }D}$. We can use any pair of corresponding sides. Let's use the top - parallel sides.

Step2: Calculate the scale factor

The length of the top - parallel side of trapezoid $D$ is $15$, and the length of the top - parallel side of trapezoid $E$ is $18$. Then $k = \frac{18}{15}=\frac{6}{5}=1.2$. We can double - check with another pair of corresponding sides. For the non - parallel sides, the non - parallel side of trapezoid $D$ is $5$ and the non - parallel side of trapezoid $E$ is $6$. Then $k=\frac{6}{5} = 1.2$.

Answer:

$1.2$