Ch 5: Chapter 5: Relationship Within Triangles

About This Chapter

The Relationship Within Triangles chapter of this Holt McDougal Larson Geometry Textbook Companion Course helps students learn the essential lessons associated with the relationship within triangles. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Relationship Within Triangles textbook chapter.

How It Works:

  • Identify the lessons in the Relationship Within Triangles chapter with which you need help.
  • Find the corresponding video lessons with this companion course chapter.
  • Watch fun videos that cover the relationship within triangles 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:

  • The midsegment theorem
  • How to use the perpendicular bisector theorem
  • Ways to calculate median, altitude and angle bisectors
  • The angle bisector theorem
  • Properties of concurrent lines
  • The hinge theorem
  • Methods for finding side lengths of triangles
  • Inequalities in triangles
  • Techniques for writing indirect proofs

Holt McDougal Larson is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.

5 Lessons in Chapter 5: Chapter 5: Relationship Within Triangles
Test your knowledge with a 30-question chapter practice test
Midsegment: Theorem & Formula

1. Midsegment: Theorem & Formula

Learn about the midsegment of a triangle and the way in which it's found. Read about the properties of the midsegment as they relate to the base, angles, perimeter and area, and then test your knowledge with a short quiz.

Perpendicular Bisector Theorem: Proof and Example

2. Perpendicular Bisector Theorem: Proof and Example

Perpendicular bisectors are multifunctional lines. They're not only perpendicular to the line in question, they also neatly divide it into two equal halves. In this lesson, we'll learn about the perpendicular bisector theorem.

Angle Bisector Theorem: Definition and Example

3. 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.

Median, Altitude, and Angle Bisectors of a Triangle

4. 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.

Properties of Concurrent Lines in a Triangle

5. Properties of Concurrent Lines in a Triangle

Centroids, orthocenters, incenters, circumcenters, oh my! Don't worry though. In this lesson, we master the various terms for concurrent lines in triangles and match them to altitudes, angle bisectors, perpendicular bisectors and medians.

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 200 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