Question

1 polygon q is a scaled copy of polygon p. a. the value of x is 6, what is the value of y? b. what is the scale factor?

Explanation:

Step1: Find the scale - factor

Since the two polygons are scaled copies, the ratios of corresponding sides are equal. Let the scale - factor be $k$. We can find the scale - factor by comparing the known corresponding sides. The ratio of the top - sides is $k=\frac{3}{4}$.

Step2: Solve for $y$

We know that $\frac{y}{x}=k$. Given $x = 6$ and $k=\frac{3}{4}$, then $y=k\times x$. Substitute the values: $y=\frac{3}{4}\times6=\frac{18}{4} = 4.5$.

Step3: Determine the scale - factor

As calculated in Step1, the scale - factor from Polygon $P$ to Polygon $Q$ is $\frac{3}{4}$.

Answer:

a. $4.5$
b. $\frac{3}{4}$