Question

trapezoid f is a scaled copy of trapezoid e.
trapezoid e has sides 15, 15, 20 (and the other side not labeled with number?); trapezoid f has sides 18, 18, 24 (and the other side not labeled with number?)
what scale factor takes trapezoid e to trapezoid f?

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) from trapezoid \(E\) to trapezoid \(F\) is given by \(k=\frac{\text{corresponding side length in }F}{\text{corresponding side length in }E}\).

Step2: Substitute the side - length values

We can use the non - parallel sides (or the parallel sides). Let's use the non - parallel sides. The length of the non - parallel side in \(E\) is \(15\), and in \(F\) is \(18\). Then \(k = \frac{18}{15}\).

Step3: Simplify the fraction

\(\frac{18}{15}=\frac{6\times3}{5\times3}=\frac{6}{5}=1.2\)

Answer:

\(1.2\)