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3. abcde ~ ghjdf. complete the statement: $\frac{gh}{dj}=\frac{ab}{?}$

Question

  1. abcde ~ ghjdf. complete the statement: $\frac{gh}{dj}=\frac{ab}{?}$

Explanation:

Step1: Recall property of similar polygons

For similar polygons, the ratios of corresponding - side lengths are equal.

Step2: Identify corresponding sides

In similar polygons \(ABCDE\) and \(GHIJF\), side \(GH\) corresponds to side \(AB\), and side \(DJ\) corresponds to side \(DC\). Since \(\frac{GH}{DJ}=\frac{AB}{?}\), the missing side in the ratio must be the side corresponding to \(DJ\) in polygon \(ABCDE\), which is \(DC\).

Answer:

DC