In these worksheets, students will learn to find ratios, perimeters, and areas of similar polygons.

#### Similar polygons are the same type of polygon, and they have proportional corresponding sides and angles. When studying shapes and learning how to solve them, you may come across the term 'similar solids' or 'similar polygons.' Similar polygons are two or more shapes that are similar in shape, but their sizes are not the same. The corresponding segments, in this case, are proportional, and the corresponding faces are similar polygons. To solve similar polygons for their area and perimeter is pretty simple. You do not have to re-apply the formula and get into complicated calculations again and again. All you need to do is calculate the area or perimeter of one polygon and know the lengths of each of the polygons. This way, you can calculate the area of the other polygon. Similarly, if you have the ratio and area of one polygon, you can use the ratio to find the area of the similar polygon with ease. For perimeter, the perimeter and the length ratio are related with; (P1 /P2) = (L1 /L2) For area, the area and the length ratio are related with; (A1 /A2 ) = (L1 /L2 )2.

In these worksheets, your students will learn use the similarity of a polygon whose measurements are known to find the value of a missing measurement in another polygon. Students will find ratios of similar polygons. Students will find perimeters of similar polygons. Students will find areas of similar polygons. There are 6 worksheets in this set. A prior understanding of ratios, perimeter, and area is required in order for students to be successful with these worksheets. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. It also includes ample worksheets for students to practice independently. Most worksheets contain between eight and ten problems. When finished with this set of worksheets, students will be able to find ratios, perimeters, and areas of similar polygons. These worksheets explain how to find ratios, perimeters, and areas of similar polygons. Sample problems are solved and practice problems are provided.

# Similar Polygons: Ratio of Perimeters & Areas Worksheets

## Lesson

This worksheet explains how to solve this problem: Two Δ are similar. The sides of the first Δ are 2, 3, and the largest side of the second Δ is 28. Find the perimeter of the second Δ.

## Similar Polygons Worksheet

You will apply these skills to real world problems such as: Two triangular roofs are similar. The ratio of the corresponding sides of these roofs is 5:8. If the altitude of the smaller roof is 40 feet, find for larger roof.

## Practice

Students will practice finding ratios, perimeters, and areas of similar polygons. Ten problems are provided.

## Review and Practice

We will review how to solve these types of problems: Two triangular roofs are similar. The ratio of the corresponding sides of these roofs is 5:8. If the altitude of the smaller roof is 40 feet, find for larger roof.

## Quiz

Students will demonstrate their proficiency with solving these exercises over a course of ten different problems.

## Check

There will be a time to work on these problems in your own manner.