About This Chapter
Properties of Angles & Lines - Chapter Summary
The lessons in this chapter help you define common line and angle types in geometry, such as complementary angles, skew lines, congruent shapes and more. After defining the different types of lines and angles, you'll take a look at several example problems that illustrate these geometry concepts. These concise and straightforward lessons will also teach you how to use proportions to solve geometry problems. You'll learn how to recognize the properties of shapes and differentiate between types of lines and angles.
After finishing the lessons in this chapter, you should be able to:
- Define complementary and supplementary angles
- Identify different types of angles
- Understand and recognize the various types of lines
- Define and look at examples of intersecting and skew lines
- Solve proportion problems
- Recognize the properties of similar and congruent shapes
These short, fun and straightforward lessons help you streamline the learning process and focus on the most important concepts related to angles and lines. Each lesson is taught by a subject-matter expert who defines essential geometry definitions and walks you through several illustrative examples and practice problems. After watching each video, you can check your understanding of the material taking the interactive practice quizzes. You can keep track of your progress through the chapter from the course Dashboard and review the material as many times as needed.
1. Complementary Angles: Definition, Theorem & Examples
In this lesson, we will define complementary angles and see how they may appear in diagrams. We will discuss two common theorems that involve complementary angles. Then you can test your knowledge with a quiz.
2. Types of Angles: Vertical, Corresponding, Alternate Interior & Others
In addition to basic right, acute, or obtuse angles, there are many other types of angles or angle relationships. In this lesson, we will learn to identify these angle relationships and discuss their measurements.
3. Supplementary Angle: Definition & Theorem
There are many important angle pairs in geometry. In this lesson, we'll learn about supplementary angles, including what they are, where they are used, and why you need to know about them.
4. Parallel, Perpendicular and Transverse Lines
What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.
5. What Are Intersecting Lines? - Definition & Examples
In this lesson, you'll learn the geometric definition of a line. You'll also learn what intersecting lines are and view a few examples of them. Then, you can test your knowledge in a brief quiz.
6. Skew Lines in Geometry: Definition & Examples
In this lesson, learn the definition of skew lines. You will also learn tips for differentiating skew lines from parallel lines, as well as look at some examples.
7. Solving Problems Involving Proportions: Definition and Examples
Learn how you can use proportions to find missing sides and how to increase or decrease the sizes of objects to create models of them in this video lesson.
8. 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.
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Other chapters within the Pennsylvania Grades 4-8 - Math Subject Concentration (5158): Practice & Study Guide course
- Real & Rational Numbers
- Exponents & Operations
- Properties of Operations
- Fractions, Decimals & Percents
- Ratios, Rates & Proportional Relationships
- Number Theory & Estimation
- Radical & Exponential Expressions
- Linear Equations & Inequalities
- Nonlinear Equations & Inequalities
- Systems of Equations
- Sequences & Patterns in Math
- Understanding & Comparing Functions
- Function Graphs & Models
- Perimeter, Area & Volume Overview
- Properties of Shapes Overview
- Geometric Relationships & Transformations
- Systems of Measurement & Conversion
- Geometric Construction
- Data Interpretation in Math
- Dispersion & Probability Models
- Logical Reasoning & Visual Representations of Data
- Pennsylvania Grades 4-8 - Math Subject Concentration (5158) Flashcards