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Name Class 71 Date Ratios in Similar Polygons Going Deeper Essential question: How can you use ratios of corresponding side lengths to solve problems involving similar polygons? Two polygons are similar
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How to fill out ratios in similar polygons

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How to fill out ratios in similar polygons:

01
First, identify the corresponding sides of the similar polygons. Corresponding sides are the sides that are in the same position in each polygon.
02
Once you have identified the corresponding sides, compare their lengths. For example, if one corresponding side in the first polygon has a length of 6 units and the corresponding side in the second polygon has a length of 4 units, you will have a ratio of 6:4 or 3:2.
03
Continue comparing the lengths of all the corresponding sides and write down the ratios for each pair of corresponding sides. These ratios represent the relationship between the sides of the two polygons.
04
To fill out the ratios, you can simplify them if necessary. For example, if you have a ratio of 12:8, you can simplify it to 3:2 by dividing both numbers by their greatest common factor.
05
Once you have filled out the ratios for all the corresponding sides, you can use these ratios to find missing side lengths or scale factors of the polygons.

Who needs ratios in similar polygons?

01
Architects and engineers: When designing buildings and structures, architects and engineers often work with similar polygons to create accurate scale models. Ratios are used to ensure that the proportions of the model accurately reflect the dimensions of the actual structure.
02
Artists and designers: Similar polygons are also used in art and design, especially when creating patterns or designs that need to be replicated or resized. Ratios help artists and designers maintain consistent proportions and proportions in their work.
03
Mathematicians and students: The study of similar polygons and ratios is an important topic in mathematics. Math teachers and students use ratios to learn about geometric similarities, find missing side lengths, and solve problems involving scale factors.
04
Surveyors and cartographers: Surveyors and cartographers use ratios and similar polygons to accurately represent and measure different areas and distances on maps and geographical surveys.
05
Construction workers and contractors: When constructing or renovating buildings, ratios and similar polygons are used to ensure that different parts of the structure are proportionate and aligned correctly.
Overall, ratios in similar polygons are important for various professionals and students who work with geometry, architecture, design, mapping, and construction.
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Ratios in similar polygons are the comparison of corresponding sides of two or more polygons that are similar.
Anyone working with similar polygons or geometry may need to calculate and report ratios in similar polygons.
To fill out ratios in similar polygons, you need to compare the lengths of corresponding sides of the polygons and express them as a ratio.
The purpose of ratios in similar polygons is to determine the proportional relationship between the sides of polygons that are similar.
The information reported on ratios in similar polygons includes the lengths of corresponding sides and the ratio between them.
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