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Ch 44: ORELA Middle Grades Math: Similar Polygons

About This Chapter

Refresh your knowledge of similar polygons as you prepare for the ORELA Middle Grades Math exam. The short videos and quizzes provide you with an overview of the properties, formulas and theorems related to these geometric shapes.

ORELA Middle Grades Math: Similar Polygons - Chapter Summary

Prepare for questions on similar polygons on the ORELA Middle Grades Math exam by watching the video lessons in this chapter. You can see the definition and examples of various polygons as well as review how to solve problems with proportions. The lessons cover:

  • Ratios and proportions
  • Geometric mean
  • Problem solving with proportions
  • Examples of similar polygons
  • Similar triangles
  • The transitive property
  • Proportionality theorems
  • Right triangles

These video lessons are led by expert instructors who use illustrations and fun examples to demonstrate these math concepts. You can also use the video transcripts, multiple-choice quizzes and end-of-chapter test to prepare for test day.

ORELA Middle Grades Math: Similar Polygons Objectives

The ORELA Middle Grades Math exam is a 150-question multiple-choice test that includes questions in numbers and operations, algebra, geometry, measurement, statistics and discrete math. The topics covered in this chapter are part of the measurement and geometry section, which comprises 25% of the exam.

This computer-based exam is designed for prospective teachers who want to earn a credential to teach middle school math in Oregon. Take the chapter test and multiple-choice quizzes to get practice in answering the kinds of questions you could see when taking the Middle Grades Math test. These quizzes also let you test your knowledge of solving problems related to the properties similar polygons.

9 Lessons in Chapter 44: ORELA Middle Grades Math: Similar Polygons
Test your knowledge with a 30-question chapter practice test
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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the ORELA Middle Grades Mathematics: Practice & Study Guide course

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