Question

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

Explanation:

Step1: Identify corresponding sides

We can use any pair of corresponding sides. Let's use the top - most sides. Side of pentagon J is 20 and side of pentagon K is 15.

Step2: Calculate scale factor

The scale factor $k$ from pentagon J to pentagon K is found by dividing the length of the side of pentagon K by the length of the corresponding side of pentagon J. So $k=\frac{15}{20}=\frac{3}{4}$.

Answer:

$\frac{3}{4}$