## Similar polygons

### Similar polygons are polygons that have the same shape, but not necessarily the same size

Similar polygons are polygons that have the same shape, but not necessarily the same size. In other words, the corresponding angles of similar polygons are equal, and the ratios of their corresponding side lengths are also equal.

To determine if two polygons are similar, you need to compare their corresponding angles and side lengths. If all corresponding angles are equal and all corresponding side lengths are in proportion, then the polygons are similar.

The similarity between polygons can be denoted using the symbol “∼”. For example, if polygon A is similar to polygon B, it can be written as A ∼ B.

The concept of similarity is useful in many mathematical contexts. It allows us to analyze and compare shapes, find missing side lengths or angles in similar figures, and make predictions based on known information.

When working with similar polygons, we can apply the concept of proportionality to solve various problems. For instance, if we know the ratio of corresponding side lengths, we can set up a proportion and use cross-multiplication to find missing values.

In summary, similar polygons are polygons that have the same shape but may differ in size. Comparing their corresponding angles and side lengths helps us determine if two polygons are similar, allowing us to solve problems involving their properties and dimensions.

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