Copyright

Ch 33: TExES Physics/Math 7-12: Similar Polygons

About This Chapter

Watch these lesson videos to review the properties, uses and theorems of similar polygons as you prepare to take the TExES Physics/Mathematics 7-12. Discover how to solve problems with similar polygons and proportions.

TExES Physics/Math 7-12: Similar Polygons - Chapter Summary

The professional instructors in this chapter will assist you in your review of the properties and theorems of similar polygons through a series of lesson videos, worksheets and quizzes. In the lesson videos, they will lecture about how to use similar polygons to solve problems and provide examples so that you will be prepared for related questions on the Texas Examination of Educator Standards (TExES) Physics/Mathematics 7-12. If at any time you come up with a question regarding any of the of the material in the lesson videos, be sure to ask our experts so that you will be able to accurately answer questions about:

  • Geometric mean
  • Angle bisector theorem
  • Solving problems with proportions and similar polygons
  • The transitive property of similar triangles
  • The process of creating similar polygons
  • Theorems and proofs of right triangles

Reinforce your understanding this material using video tags that will take you to key spots of the lesson videos. If you need an alternative way to review the material, read over the transcripts. Tablets, smartphones and traditional computers can be used to access these self-paced, online lessons.

TExES Physics/Math 7-12: Similar Polygons Chapter Objectives

The state of Texas administers the TExES Physics/Mathematics 7-12 to certify its math and physics teachers. This computerized certification exam asks test takers 120 multiple-choice questions. It has a five-hour time limit. Ten percent of the questions on the exam are on the topics of geometry and measurements while another 16% focuses on patterns and algebra. The lesson videos, worksheets and quizzes in this chapter have been assembled to help you prepare for questions related to similar polygons.

11 Lessons in Chapter 33: TExES Physics/Math 7-12: Similar Polygons
Test your knowledge with a 30-question chapter practice test
Geometric Mean: Definition and Formula

1. 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.

Angle Bisector Theorem: Definition and Example

2. Angle Bisector Theorem: Definition and Example

Watch this video lesson and learn how you can use the angle bisector theorem to help you find the lengths of missing sides. Also learn how you can identify an angle bisector just by looking at the lengths of the sides of a triangle.

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.

The Pythagorean Theorem: Practice and Application

10. The Pythagorean Theorem: Practice and Application

The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.

The Pythagorean Theorem: Converse and Special Cases

11. The Pythagorean Theorem: Converse and Special Cases

The Pythagorean Theorem is a famous theorem for right triangles. Watch this video to learn how the Pythagorean Theorem relates to the law of cosines and how the converse of the Pythagorean Theorem can help you identify right triangles.

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

Earning College Credit

Did you know… We have over 160 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the TExES Physics/Mathematics 7-12 (243): Practice & Study Guide course

Support