Question

in the diagram, abcd ~ efgh. find the scale factor. scale factor (k): 3/2

Explanation:

Step1: Recall scale - factor formula

The scale factor \(k\) from one similar figure to another is the ratio of the lengths of corresponding sides.

Step2: Identify corresponding sides

Let's assume side \(CD = 15\) in the first figure and side \(GH=10\) in the second figure. Since the figures \(ABCD\sim EFGH\), the ratio of the lengths of corresponding sides gives the scale factor.

Step3: Calculate the scale factor

The scale factor \(k=\frac{CD}{GH}=\frac{15}{10}=\frac{3}{2}\)

Answer:

\(\frac{3}{2}\)