# Ch 28: CEOE Middle Level/Intermediate Math: Lines & Angles

### About This Chapter

## CEOE Middle Level/Intermediate Math: Lines & Angles - Chapter Summary

As you prepare for the CEOE Middle Level/Intermediate exam, use these video lessons for a brief refresher of lines and angles. Our instructors kept these lessons short, with videos lasting 5-10 minutes on average. After completion, you will be better prepared to answer test questions about the following lesson topics:

- Reviewing the concept and definition of a parallel line
- Using a point not on the given line to construct a parallel line
- Graphing perpendicular and parallel lines in linear equations
- Looking at the properties of perpendicular lines and also perpendicular slope
- Measuring line segments and rays
- Comparing parallel, perpendicular and transverse lines
- Working with the right angle, the acute angle and the obtuse angle
- Understanding the theorems of complementary and supplementary angles
- Examining other angle types including vertical, corresponding, alternate interior, adjacent and congruent

Study.com instructors use short video run times and focus on the topic being discussed, and they finish each lesson with a quiz to test your comprehension and retention of the lesson data. We enhance the user experience with a couple of handy features to assist the prep process. If you need to review any lesson material you can use the video transcript we provide or the convenient timeline tool to go right to any specific spot in the video. In addition, we provide a feature that allows you to submit a question directly to an expert.

### 1. What are Parallel Lines? - Definition & Concept

In this lesson, you will learn about parallel lines and how you can identify and label them. You'll also find out how they are similar to things found in everyday life.

### 2. Constructing a Parallel Line Using a Point Not on the Given Line

Watch this video lesson, and you will learn how to draw parallel lines with just a compass and a straightedge. Also, learn why you would want to be able to do this in real life.

### 3. Graphs of Parallel and Perpendicular Lines in Linear Equations

When we deal with linear equations, we sometimes come across equations that are parallel to each other or perpendicular to each other. You will see what they look like when graphed in this video lesson.

### 4. What are Perpendicular Lines? - Definition & Meaning

Perpendicular lines are shaped like a 'T' and have special properties that non-perpendicular lines don't have. Because of these special properties, it is important to be able to distinguish perpendicular lines from those that aren't. In this lesson, we will explore ways to determine whether or not two lines are perpendicular.

### 5. Perpendicular Slope: Definition & Examples

Review what perpendicular lines are and what the slope of a line is. Learn about the relationship between slopes of perpendicular lines through definitions and examples.

### 6. Line Segments & Rays: Definition & Measurement

Watch this video lesson to learn the difference between a line segment and a ray. You will also learn how to measure and add line segments. Learn why you can't measure or add a ray.

### 7. 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.

### 8. What is a Right Angle? - Definition & Formula

In this lesson, you will learn about the properties that identify right angles. You will also discover where right angles can be found and learn about what makes them so useful. You can then test your knowledge with a quiz.

### 9. What is an Acute Angle? - Definition, Description & Examples

In this lesson, you'll learn what makes an angle acute and see a few different examples of them. After the lesson, you can test your new knowledge with a brief quiz.

### 10. What is an Obtuse Angle? - Definition & Examples

In this lesson, you'll learn what angles, right angles, and obtuse angles are; you'll see a few examples of different obtuse angles. Test your knowledge with a brief quiz once you've completed the lesson.

### 11. 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.

### 12. 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.

### 13. 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.

### 14. What Are Adjacent Angles? - Definition & Examples

In this lesson, you will learn how to identify whether angles are adjacent. After looking at several examples, you will be able to test your knowledge with a quiz.

### 15. Congruent Angles: Definition & Examples

In this lesson, we'll explore the definition of a congruent angle. You'll learn how to draw a congruent angle, explore examples of congruent angles, and test your knowledge with a short quiz.

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### Other Chapters

Other chapters within the OSAT Middle Level/Intermediate Mathematics (CEOE) (125): Practice & Study Guide course

- CEOE Middle Level/Intermediate Math: Problem Solving Strategies
- CEOE Middle Level/Intermediate Math: Reasoning & Logic
- CEOE Middle Level/Intermediate Math: Mathematical Modeling
- CEOE Middle Level/Intermediate Math: Real Numbers
- CEOE Middle Level/Intermediate Math: Fractions
- CEOE Middle Level/Intermediate Math: Decimals
- CEOE Middle Level/Intermediate Math: Percentages
- CEOE Middle Level/Intermediate Math: Ratios, Rates & Proportions
- CEOE Middle Level/Intermediate Math: Exponents & Exponential Expressions
- CEOE Middle Level/Intermediate Math: Properties of Real Numbers
- CEOE Middle Level/Intermediate Math: Sequences & Series
- CEOE Middle Level/Intermediate Math: Introduction to Algebra
- CEOE Middle Level/Intermediate Math: Introduction to Functions
- CEOE Middle Level/Intermediate Math: Linear Equations
- CEOE Middle Level/Intermediate Math: Linear Inequalities
- CEOE Middle Level/Intermediate Math: Systems of Equations
- CEOE Middle Level/Intermediate Math: Matrices in Linear Algebra
- CEOE Middle Level/Intermediate Math: Quadratic Functions
- CEOE Middle Level/Intermediate Math: Polynomial Functions
- CEOE Middle Level/Intermediate Math: Rational Expressions
- CEOE Middle Level/Intermediate Math: Radical Expressions
- CEOE Middle Level/Intermediate Math: Absolute Value Functions
- CEOE Middle Level/Intermediate Math: Exponential & Logarithmic Equations
- CEOE Middle Level/Intermediate Math: Measurement
- CEOE Middle Level/Intermediate Math: Area & Perimeter
- CEOE Middle Level/Intermediate Math: Surface Area & Volume
- CEOE Middle Level/Intermediate Math: Foundations of Geometry
- CEOE Middle Level/Intermediate Math: Properties of Triangles
- CEOE Middle Level/Intermediate Math: Similar & Congruent Triangle Proofs
- CEOE Middle Level/Intermediate Math: Right Triangle Proofs
- CEOE Middle Level/Intermediate Math: Quadrilaterals & Polygons
- CEOE Middle Level/Intermediate Math: Circles & Arc of a Circle
- CEOE Middle Level/Intermediate Math: Conic Sections
- CEOE Middle Level/Intermediate Math: Coordinate Geometry
- CEOE Middle Level/Intermediate Math: Transformations in Geometry
- CEOE Middle Level/Intermediate Math: Trigonometry
- CEOE Middle Level/Intermediate Math: Limits
- CEOE Middle Level/Intermediate Math: Rate of Change & Derivatives
- CEOE Middle Level/Intermediate Math: Area Under the Curve & Integrals
- CEOE Middle Level/Intermediate Math: Probability
- CEOE Middle Level/Intermediate Math: Discrete Probability Distributions
- CEOE Middle Level/Intermediate Math: Continuous Probability Distributions
- CEOE Middle Level/Intermediate Math: Overview of Statistics
- CEOE Middle Level/Intermediate Math: Sampling
- CEOE Middle Level/Intermediate Math: Graphs, Charts & Diagrams
- CEOE Middle Level/Intermediate Math: Summarizing Data
- CEOE Middle Level/Intermediate Math: Discrete Mathematics
- OSAT Middle Level/Intermediate Mathematics (CEOE) (125) Flashcards