Question

polygon l is a scaled copy of polygon k. what is the value of j?

Explanation:

Step1: Identify the scale - factor

Since polygon L is a scaled copy of polygon K, the ratios of corresponding side - lengths are equal. Let the scale - factor be \(k\). We can find \(k\) by comparing two corresponding sides. For example, if we compare the sides of length \(0.3\) in polygon K and \(0.18\) in polygon L, \(k=\frac{0.18}{0.3}=0.6\).

Step2: Calculate the value of \(j\)

We know that the side of length \(0.5\) in polygon K corresponds to side \(j\) in polygon L. Using the scale - factor \(k = 0.6\), we have \(j=0.5\times k\). Substituting \(k = 0.6\) into the equation, we get \(j=0.5\times0.6 = 0.3\).

Answer:

\(0.3\)