Ch 11: Discovering Geometry Chapter 11: Similarity

About This Chapter

The Similarity chapter of this course helps students learn how to recognize and work with similar polygons, including similar triangles. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Similarity textbook chapter. DISCOVERING GEOMETRY is a registered trademark of Angela H. Snead. Study.com has no affiliation with and is not endorsed by Angela H. Snead, by Michael Serra, the author and copyright holder of Discovering Geometry: An Investigative Approach; or by Kendall Hunt Publishing, the textbook's publisher.

How It Works

  • Identify the lessons in the textbook chapter with which you need help.
  • Find the corresponding video lessons within this online chapter.
  • Watch fun videos that cover the 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.

Chapter Topics

You'll learn all of the geometry topics covered in the textbook chapter, including:

  • Examples and the meaning of similar polygons
  • Characteristics of similar and congruent shapes
  • Ways to recognize and apply triangles
  • How transitive property is applied in similar triangles
  • The meaning of altitude, angle and median bisectors of a triangle
  • Definition of the angle bisector theorem
  • How to apply scale factors to volume, perimeter and area
  • Uses of the triangle proportionality theorem

9 Lessons in Chapter 11: Discovering Geometry Chapter 11: Similarity
Test your knowledge with a 30-question chapter practice test
Similar Polygons: Definition and Examples

1. 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.

Properties of Congruent and Similar Shapes

2. Properties of Congruent and Similar Shapes

In this lesson, we'll look at triangles, rectangles and other shapes that share properties. This includes both congruent and similar shapes. We'll also practice identifying the missing properties of these shapes.

How to Identify Similar Triangles

3. 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.

Applications of Similar Triangles

4. 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 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.

Median, Altitude, and Angle Bisectors of a Triangle

6. Median, Altitude, and Angle Bisectors of a Triangle

Line segments in triangles are just clutter; they have special names and qualities depending on how they're drawn. In this lesson, we'll learn about medians, altitudes and angle bisectors.

Angle Bisector Theorem: Definition and Example

7. 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.

Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures

8. Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures

How do shapes change sizes yet retain their proportions and similarities to other shapes? In this lesson, we'll look at what a scale factor is and how to apply it. We'll consider scale factors with regards to three different aspects of similar shapes: perimeter, area and volume.

Triangle Proportionality Theorem

9. 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.

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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