Copyright

Ch 11: Amsco Geometry Chapter 12: Ratio, Proportion, and Similarity

About This Chapter

The Ratio, Proportion and Similarity chapter of this Amsco Geometry Textbook course helps students learn essential geometry lessons of ratio, proportion and similarity. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Ratio, Proportion and Similarity textbook chapter.

How it works:

  • Identify the lessons in the Amsco Geometry Ratio, Proportion and Similarity chapter with which you need help.
  • Find the corresponding video lessons within this companion course chapter.
  • Watch fun videos that cover the ratio, proportion and similarity topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn about:

  • Proportions of line segments
  • Similar polygons and triangles
  • Dilations
  • Concurrency of angle and perpendicular bisectors
  • Concurrency of medians of triangles
  • Proportions in right triangles
  • The Pythagorean Theorem

Amsco is a registered trademark of Amsco, which is not affiliated with Study.com.

9 Lessons in Chapter 11: Amsco Geometry Chapter 12: Ratio, Proportion, and Similarity
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.

Proportion: Definition, Application & Examples

2. Proportion: Definition, Application & Examples

When we want to compare one ratio, or fraction, to another equivalent ratio, it's a proportion. Learn all about proportions and practice solving proportion problems in this lesson.

Similar Polygons: Definition and Examples

3. 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.

How to Identify Similar Triangles

4. How to Identify Similar Triangles

Similar triangles have the same characteristics as similar figures but can be identified much more easily. Learn the shortcuts for identifying similar triangles here and test your ability with a quiz.

The Transitive Property of Similar Triangles

5. 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.

Applications of Similar Triangles

6. Applications of Similar Triangles

Similar triangles are used to solve problems in everyday situations. Learn how to solve with similar triangles here, and then test your understanding with a quiz.

The Pythagorean Theorem: Practice and Application

7. 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

8. 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.

Distance Formulas: Calculations & Examples

9. Distance Formulas: Calculations & Examples

Let's go on a road trip! In this lesson, we'll practice calculations involving distance, rate and time. We'll also look at how we determine the relationship between distance and fuel.

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.

Support