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Ch 43: OAE Middle Grades Math: Similar Polygons

About This Chapter

Watch this chapter's videos to get a refresher on the formulas and theorems used to identify or construct similar polygons. Take the multiple-choice quizzes that follow each lesson to check your understanding of these topics before taking the OAE Middle Grades Math exam.

OAE Middle Grades Math: Similar Polygons - Chapter Summary

Prepare for the OAE Middle Grades Math exam's geometry questions with these lessons on similar polygons. Short videos cover the following topics:

  • Ratios and proportions
  • The geometric mean
  • Types of polygons
  • Criteria for similar triangles
  • The transitive property of similar triangles
  • The triangle proportionality theorem
  • Methods for constructing similar polygons
  • Properties of right triangles

These video lessons are taught by experienced instructors and allow you to review geometry topics at your own pace. You'll also find short quizzes designed to give you extra problem-solving practice and familiarize you with the format of questions on the actual OAE Middle Grades Math test.

OAE Middle Grades Math: Similar Polygons Objectives

If you're preparing to meet the Ohio Department of Education's licensing requirements for middle school math teachers, use this chapter to get re-acquainted with the theorems and shape properties used to determine the similarity of two polygons. Multiple-choice questions covering these concepts are included in the OAE Middle Grades Math exam's measurement and geometry content domain, which accounts for around 25% of your test score. The exam consists of 150 multiple-choice questions in all.

9 Lessons in Chapter 43: OAE Middle Grades Math: 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 Ohio Assessments for Educators - Middle Grades Mathematics (030): Practice & Study Guide course

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