Question

these two polygons are similar. z = ?

Explanation:

Step1: Find the scale factor

Since the polygons are similar, the ratio of corresponding sides is equal. The ratio of the side of length \(6\) in the yellow polygon to the side of length \(2\) in the red polygon is \(\frac{6}{2}=3\).

Step2: Calculate \(z\)

The side of length \(9\) in the yellow polygon corresponds to \(z\) in the red polygon. Using the scale factor \(3\), we have \(\frac{9}{z}=3\). Solving for \(z\), we get \(z = \frac{9}{3}\).

Answer:

\(z = 3\)