Question

polygon q is a scaled copy of polygon p. what is the value of r?

Explanation:

Step1: Find the scale - factor

Since polygon Q is a scaled copy of polygon P, we can find the scale - factor by comparing corresponding sides. Let's use the side of length 16 in polygon P and the side of length 4 in polygon Q. The scale - factor $k=\frac{\text{side in Q}}{\text{side in P}}=\frac{4}{16}=\frac{1}{4}$.

Step2: Calculate the value of r

We know that the side of length 8 in polygon P corresponds to the side of length r in polygon Q. Using the scale - factor, we have $r = 8\times k$. Substituting $k=\frac{1}{4}$, we get $r=8\times\frac{1}{4}=2$.

Answer:

2