About This Chapter
Geometry & Properties of Triangles - Chapter Summary
This chapter offers a fun and engaging examination of geometry and properties of triangles. Entertaining lessons make it easily to understand angles, sides, the Pythagorean theorem, the triangle proportionality theorem and much more. Enjoy the ability to access these lessons anytime using any computer or mobile device with an Internet connection. When ready, check your understanding of these lessons by taking multiple-choice quizzes and a chapter exam. Track your progress through this chapter and submit lesson topic questions to our experts via the Dashboard. Once you've completed this chapter, you will be able to:
- Classify triangles by sides and angles
- Complete angle and triangle practice problems
- Define the Pythagorean theorem
- Practice the application of the Pythagorean theorem
- Share the meaning of the triangle proportionality theorem
- Prove angle relationships
- Read and interpret circle graphs and central angles
1. Classifying Triangles by Angles and Sides
Not all triangles are the same. There are equilateral, isosceles and scalene triangles. Then there are right, acute and obtuse triangles. In this lesson, we'll learn how to classify triangles using their sides and angles.
2. Angles and Triangles: Practice Problems
Want more practice solving with angle pairs? How about more review for solving angles in triangles? Look no further. Get more practice here, and test your ability with a quiz.
3. Pythagorean Theorem: Definition & Example
Learn what the Pythagorean Theorem says about a right triangle and the relationships of its three sides to each other by watching this video lesson. Also learn how you can use this to your advantage when solving problems.
4. 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.
5. 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.
6. Proving Angle Relationships
In this lesson, you'll learn to prove angle relationships using properties of congruent, complementary, and supplementary angles. Learn the concepts and apply them on practice problems.
7. Reading & Interpreting Circle Graphs & Central Angles
Circle graphs are some of the most useful graphical descriptions of data around. However, without knowing how to find central angles, their usefulness is limited, and their creation is difficult. In this lesson, we learn how to find central angles while using and creating circle graphs.
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Other chapters within the 8th Grade Math course
- Number Systems & Theory
- Problem-Solving in Real World Math
- Algebraic Expressions & Equations
- Graphing Lines & Inequalities
- Proportional Relationships & Linear Equations
- 6th-8th Grade Algebra: Systems of Linear Equations
- Graphical Transformations
- Geometry of Congruent & Similar Figures
- Geometry of Three-Dimensional Objects
- Evaluating & Calculating Probability
- Measuring & Graphing Statistical Distributions