About This Chapter
How it works:
- Identify the lessons in the Prentice Hall Geometry Relationships within Triangles chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the relationships 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:
- Mid-segments of a triangle
- Angle and perpendicular bisector theorems
- Concurrency of angle bisectors or perpendicular bisectors in triangles
- Methods for constructing the median of a triangle
- Altitude, angle and median bisectors of triangles
- Contrapositive, indirect and inverse reasoning
- Indirect proof and its uses
- Methods for comparing the measurements of a triangle
- Theorems of inequality
- Inequality in triangles
Prentice Hall Geometry is a registered trademark of Prentice Hall, which is not affiliated with Study.com.
1. 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.
2. Angle Bisector Theorem: Proof and Example
The angle bisector theorem sounds almost too good to be true. In this lesson, we set out to prove the theorem and then look at a few examples of how it's used.
3. 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.
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Other chapters within the Prentice Hall Geometry: Online Textbook Help course
- Prentice Hall Geometry Chapter 1: Tools of Geometry
- Prentice Hall Geometry Chapter 2: Reasoning and Proof
- Prentice Hall Geometry Chapter 3: Parallel and Perpendicular Lines
- Prentice Hall Geometry Chapter 4: Congruent Triangles
- Prentice Hall Geometry Chapter 6: Quadrilaterals
- Prentice Hall Geometry Chapter 7: Similarity
- Prentice Hall Geometry Chapter 8: Right Triangles and Trigonometry
- Prentice Hall Geometry Chapter 9: Transformations
- Prentice Hall Geometry Chapter 10: Area
- Prentice Hall Geometry Chapter 11: Surface Area and Volume
- Prentice Hall Geometry Chapter 12: Circles