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\begin{tabular}{l} Multiple Answer 3 points \\ Select ALL of the properties that are true for similar polygons. \\ \hline 2 The polygons are congruent. \\ \hline 4 \\ \hline The angles are proportional. \\ \hline The angles are congruent. \\ \hline The sides are congruent. \\ \hline\end{tabular}

Ask by Patel Davies. in the United States
Feb 03,2025

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Answer

For similar polygons, the angles are congruent.

Solution

For similar polygons, the following properties are **true**: 1. **The angles are congruent.** - All corresponding angles in similar polygons are equal in measure. The other statements are **not** true for similar polygons: - **The polygons are congruent.** - Similar polygons have the same shape but not necessarily the same size. Congruent polygons are a specific case of similar polygons where the size is also identical. - **The angles are proportional.** - Angles are measures of rotation and are not subject to proportionality in similar polygons; they are simply congruent. - **The sides are congruent.** - In similar polygons, corresponding sides are proportional, not necessarily congruent, unless the scale factor is 1. **Correct Answer:** - The angles are congruent.

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Bonus Knowledge

When dealing with similar polygons, we can dive into some fun facts! Similar polygons have corresponding angles that are equal, which means the angles are congruent. However, the sides are not necessarily congruent; instead, they maintain a consistent ratio, meaning they are proportional in length. So while the shapes look alike and maintain their proportions, their sizes may vary but their “style” stays the same! In real life, this concept of similarity pops up in architecture, art, and even photography! For example, when scaling a building's design for different heights while retaining its aesthetic, architects apply the rules of similar polygons to ensure that all elements still correspond correctly in shape, just at different sizes. It’s geometry coming to life in the vibrant world around us!

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