Question

polygon h is a scaled copy of polygon g. if the value of m is 14, what is the value of n? 54/7 56/3 17 53

Explanation:

Step1: Determine the scale factor

Since polygon \(H\) is a scaled copy of polygon \(G\), the ratio of corresponding sides is constant. The scale factor \(k\) can be found by comparing the known corresponding sides. Let's use the sides of length \(9\) (in \(G\)) and \(12\) (in \(H\)). The scale factor \(k=\frac{12}{9}=\frac{4}{3}\)

Step2: Use the scale factor to find \(n\)

We know that \(m = 14\) (a side of \(G\)) and \(n\) (the corresponding side of \(H\)). Using the formula for scaled - copy \(n=k\times m\). Substitute \(k = \frac{4}{3}\) and \(m = 14\) into the formula: \(n=\frac{4}{3}\times14=\frac{56}{3}\)

Answer:

\(\frac{56}{3}\)