# Ch 44: MTEL Mathematics (Elementary): Parallel Lines & Symmetry

### About This Chapter

## MTEL Mathematics (Elementary): Parallel Lines & Symmetry - Chapter Summary

The lessons in this chapter provide you with the unique opportunity to update your knowledge of parallel lines and symmetry from the comfort of your home. Expert instructors present the topics you'll find on the MTEL Mathematics exam in the form of fun videos. After reviewing the lessons, you will be able to:

- Explain how to prove lines are parallel
- Describe the use of converse statements to prove lines are parallel
- Discuss how to construct a parallel line using a point not on the given line
- Share the meaning of the parallel postulate and indirect proof
- Define and explain the concept of parallel sides
- Provide the definition of symmetric property in geometry and symmetric property of equality

One of the challenges of preparing for a licensure exam is compiling the correct materials for your study sessions. This chapter offers a variety of resources to make sure you're on track and prepared to answer questions on the exam. Review the lessons as videos or full transcripts to brush up on your knowledge of parallel lines and symmetry. Test your knowledge by taking self-assessment quizzes and a chapter exam. If you need additional information about lesson topics, don't hesitate to submit your questions to our experts.

### 1. Parallel Lines: How to Prove Lines Are Parallel

Watch this video lesson to learn how you can prove that two lines are parallel just by matching up pairs of angles. Learn which angles to pair up and what to look for.

### 2. Using Converse Statements to Prove Lines Are Parallel

Because a pair of parallel lines produces unique angle characteristics, we can use this information to our advantage. Watch this video lesson to see how we turn this advantage into converse statements to help us prove parallel lines.

### 3. 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.

### 4. The Parallel Postulate: Definition & Examples

In this lesson, you will learn about an important postulate in Euclidean geometry, called the Parallel Postulate. It sounds kind of hard, but this lesson explains it in simple terms and provides several examples of it as well.

### 5. Parallel Sides: Definition & Concept

In this lesson, you will learn the special properties of parallel sides. Only certain shapes have the distinguished honor of having parallel sides. Learn what these are and discover how to mathematically mark two sides that are parallel.

### 6. Symmetric Property in Geometry: Definition & Examples

The symmetric property shows up often in the world around us, so it is useful to be familiar with this property. This lesson will allow us to become comfortable with, see examples of, and work with this neat property.

### 7. Symmetric Property: Definition & Examples

In this lesson, you will learn the definition of the symmetric property of equality and why this property is so important in mathematics. You will also be given examples to illustrate.

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### Other Chapters

Other chapters within the MTEL Mathematics (Elementary) (53): Practice & Study Guide course

- MTEL Mathematics (Elementary): Number Sense
- MTEL Mathematics (Elementary): Mathematical Operations
- MTEL Mathematics (Elementary): Factoring & Divisibility
- MTEL Mathematics (Elementary): Real Numbers
- MTEL Mathematics (Elementary): Prime Factorization
- MTEL Mathematics (Elementary): Rational Numbers
- MTEL Mathematics (Elementary): Properties of Numbers
- MTEL Mathematics (Elementary): Roots
- MTEL Mathematics (Elementary): Exponents
- MTEL Mathematics (Elementary): Exponential Expressions & Scientific Notation
- MTEL Mathematics (Elementary): Absolute Value
- MTEL Mathematics (Elementary): Integers
- MTEL Mathematics (Elementary): Estimating & Rounding
- MTEL Mathematics (Elementary): Principles of Fractions
- MTEL Mathematics (Elementary): Operations with Fractions
- MTEL Mathematics (Elementary): Introduction to Decimals
- MTEL Mathematics (Elementary): Operations with Decimals
- MTEL Mathematics (Elementary): Percents
- MTEL Mathematics (Elementary): Descriptive Statistics
- MTEL Mathematics (Elementary): Summarizing Data
- MTEL Mathematics (Elementary): Principles of Sampling
- MTEL Mathematics (Elementary): Regression & Correlation
- MTEL Mathematics (Elementary): Principles of Probability
- MTEL Mathematics (Elementary): Properties of Functions
- MTEL Mathematics (Elementary): Understanding Algebraic Expressions
- MTEL Mathematics (Elementary): Solving Algebraic Equations
- MTEL Mathematics (Elementary): Properties of Linear Relations
- MTEL Mathematics (Elementary): Graphing Linear Equations
- MTEL Mathematics (Elementary): Properties of Ratios & Proportions
- MTEL Mathematics (Elementary): Properties of Polynomial Functions
- MTEL Mathematics (Elementary): Properties of Quadratic Functions
- MTEL Mathematics (Elementary): Properties of Rational Functions
- MTEL Mathematics (Elementary): Properties of Exponential Functions
- MTEL Mathematics (Elementary): Principles of Measurement
- MTEL Mathematics (Elementary): Principles of Geometry
- MTEL Mathematics (Elementary): Understanding Lines in Geometry
- MTEL Mathematics (Elementary): Principles of Geometric Figures
- MTEL Mathematics (Elementary): Properties of Triangles
- MTEL Mathematics (Elementary): Proof of Theorems
- MTEL Mathematics (Elementary): Quadrilaterals
- MTEL Mathematics (Elementary): Polygons
- MTEL Mathematics (Elementary): Circles & Circular Arcs
- MTEL Mathematics (Elementary): Principles of Geometric Solids
- MTEL Mathematics (Elementary): Transformations in Geometry
- MTEL Mathematics (Elementary): Understanding Coordinate Geometry
- MTEL Mathematics (Elementary School) Flashcards