Question

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

Explanation:

Step1: Find the scale - factor

Since the two polygons are scaled copies, the ratio of corresponding sides is the same. Consider the vertical sides. The ratio of the vertical side of polygon R to the vertical side of polygon Q is $\frac{7}{14}=\frac{1}{2}$.

Step2: Use the scale - factor to find x

The scale - factor is $\frac{1}{2}$. For the horizontal sides, we have the equation $\frac{x}{16}=\frac{1}{2}$. Cross - multiplying gives $x = 16\times\frac{1}{2}$.
$x=8$

Answer:

8