About This 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
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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.
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.
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.
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.
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.
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Other chapters within the Holt McDougal Larson Geometry: Online Textbook Help course
- Chapter 1: Essentials of Geometry
- Chapter 2: Reasoning and Proof
- Chapter 3: Parallel and Perpendicular Lines
- Chapter 4: Congruent Triangles
- Chapter 6: Similarities
- Chapter 7: Right Triangles and Trigonometry
- Chapter 8: Quadrilaterals
- Chapter 9: Properties of Transformations
- Chapter 10: Properties of Circles
- Chapter 11: Measurements of Figures and Solids
- Chapter 12: Probability