Question

pentagon k is a scaled copy of pentagon j. what scale factor takes pentagon j to pentagon k?

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from an original figure to a scaled - copy is given by $k=\frac{\text{length in scaled copy}}{\text{length in original figure}}$.

Step2: Choose a corresponding side

Let's use the top - most sides. The length of the top - most side of pentagon $J$ is $20$, and the length of the top - most side of pentagon $K$ is $15$.

Step3: Calculate the scale factor

$k = \frac{15}{20}=\frac{3}{4}$

Answer:

$\frac{3}{4}$