Geometry

Question Analysis

The main focus is to find the ratio of the perimeters of similar polygons ABCD and EFGH. Since for similar polygons, the ratio of their perimeters is equal to the ratio of their corresponding side lengths, we need to find the ratio of one pair of corresponding sides.

Key Concept Explanation

For similar polygons, if polygon  and polygon  are similar, the ratio of their perimeters  and  is the same as the ratio of any pair of corresponding side lengths  and , i.e., .

Step - by - Step Solution

1. Select a pair of corresponding sides:

Let's take side  in polygon ABCD and its corresponding side

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