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Ch 45: 6th-8th Grade Geometry: Similar Polygons

About This Chapter

The online video lessons in the Similar Polygons chapter teach your 6th - 8th grade students to identify the angles and proportions of similar polygons. The lessons also explain the use of ratios and the geometric mean. Test your students' knowledge of the material by giving the multiple-choice quizzes at the end of the lessons.

6th-8th Grade Geometry: Similar Polygons - Chapter Summary

As a teacher of 6th - 8th grade students, you can use the video lessons in the Similar Polygons chapter to demonstrate the construction of similar polygons as well as the use of the triangle proportionality theorem and the Pythagorean theorem. The informative lessons teach the rules for applying the transitive property and solving proportion problems. The chapter examination can assess your students' understanding of these topics.

Chapter Lessons and Objectives

Lesson Objective
Ratios and Proportions: Definition and Examples Students discover real life applications for ratios and proportions.
Geometric Mean: Definition and Formula This lesson teaches the formula for finding the geometric mean.
Solving Problems Involving Proportions: Definition and Examples Teachers define proportions and explain the steps for solving problems with proportions.
Similar Polygons: Definition and Examples This lesson examines the characteristics of similar polygons.
Similar Triangles and the AA Criterion Students learn to establish the AA criterion for the similarity of triangles.
The Transitive Property of Similar Triangles Instructors teach students to apply the transitive property to similar triangles.
Triangle Proportionality Theorem Students solve problems using the triangle proportionality theorem.
Constructing Similar Polygons This lesson teaches students to draw similar polygons.
Properties of Right Triangles: Theorems and Proofs Students explore the properties of right triangles as well as the Pythagorean theorem.

9 Lessons in Chapter 45: 6th-8th Grade Geometry: Similar Polygons
Ratios and Proportions: Definition and Examples

1. Ratios and Proportions: Definition and Examples

Watch this video lesson to learn how ratios and proportions are related. Also, learn how ratios and proportions are used in real life and how you can apply them to yours.

Geometric Mean: Definition and Formula

2. Geometric Mean: Definition and Formula

Watch this video lesson to learn how different the geometric mean is from the arithmetic mean, or average, that we are all so familiar with. Learn in what circumstance the geometric mean is preferred. Also, learn the formula and how to use it.

Solving Problems Involving Proportions: Definition and Examples

3. Solving Problems Involving Proportions: Definition and Examples

Learn how you can use proportions to find missing sides and how to increase or decrease the sizes of objects to create models of them in this video lesson.

Similar Polygons: Definition and Examples

4. Similar Polygons: Definition and Examples

Watch this video to learn what makes two polygons similar to each other. You'll also learn the one distinguishing aspect of similar polygons and see an example of how to compare two polygons.

Similar Triangles & the AA Criterion

5. Similar Triangles & the AA Criterion

This video lesson explains the AA criterion and shows you why you only need two corresponding angles to be equal for two triangles to be similar. You will also see how you can use it to help you identify similar triangles.

The Transitive Property of Similar Triangles

6. The Transitive Property of Similar Triangles

Watch this video lesson and you will understand what the transitive property is and how it applies to similar triangles. Watch as we apply the transitive property to three similar triangles.

Triangle Proportionality Theorem

7. Triangle Proportionality Theorem

Watch this video lesson to learn all about the triangle proportionality theorem and how you can use this interesting theorem to help you solve problems. Learn how a parallel line can create sides that are proportional to each other.

Constructing Similar Polygons

8. Constructing Similar Polygons

This lesson will teach you how to construct similar polygons, which are very useful in many quantitative fields. You'll learn that all of this has something to do with, of all things, snowflakes!

Properties of Right Triangles: Theorems & Proofs

9. Properties of Right Triangles: Theorems & Proofs

In this lesson, you will learn about the properties of and theorems associated with right triangles, which have a wide range of applications in math and science. Specifically, we will discuss and prove the Pythagorean theorem and the right triangle altitude theorem. Let's get started.

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Other Chapters

Other chapters within the 6th-8th Grade Math: Practice & Review course

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