Question

trapezoid g is a scaled copy of trapezoid f. what scale factor takes trapezoid f to trapezoid g?

Explanation:

Step1: Recall the formula for scale factor

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

Step2: Choose a pair of corresponding sides

We can use the non - parallel sides. Let's take the side of length \(29\) in trapezoid \(F\) and the corresponding side of length \(37.7\) in trapezoid \(G\).

$$k = \frac{37.7}{29}$$

Step3: Calculate the value

$$k=\frac{37.7}{29}=1.3$$

Answer:

\(1.3\)