# Ch 22: NYSTCE Mathematics: Parallel Lines & Symmetry

### About This Chapter

## NYSTCE Mathematics: Parallel Lines & Symmetry- Chapter Summary

When you study this chapter, you can explore different concepts and information related to parallel lines and symmetry. You will find a list of topics that you'll need to know to pass the NYSTCE Mathematics exam, such as:

- Parallel lines
- Proving parallel lines
- The construction of a parallel line
- Parallel postulate
- Parallel sides
- Symmetric property

Our instructors will break down these complicated lessons through illustrated lessons that are easy for you to understand. Take the quizzes after each lesson to test yourself and gauge how much you know. When you complete all of the lessons, take the chapter test before you move onto another topic. This will ensure that you have studied and retained all of the necessary information to help you pass this portion of the NYSTCE Mathematics exam.

### 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 NYSTCE Mathematics (004): Practice & Study Guide course

- NYSTCE Mathematics: Fractions, Decimals & Percents
- NYSTCE Mathematics: Complex Numbers
- NYSTCE Mathematics: Factoring & Divisibility
- NYSTCE Mathematics: Exponents
- NYSTCE Mathematics: Patterns & Functions
- NYSTCE Mathematics: Understanding Algebraic Expressions
- NYSTCE Mathematics: Solving Algebraic Equations
- NYSTCE Mathematics: Linear Equations
- NYSTCE Mathematics: Quadratic Functions
- NYSTCE Mathematics: Polynomial Functions
- NYSTCE Mathematics: Exponential Expressions
- NYSTCE Mathematics: Absolute Value Expressions
- NYSTCE Mathematics: Rational Expressions
- NYSTCE Mathematics: Radical Expressions
- NYSTCE Mathematics: Exponential & Logarithmic Functions
- NYSTCE Mathematics: Trigonometry
- NYSTCE Mathematics: Applications of Trigonometry
- NYSTCE Mathematics: Calculus Concepts
- NYSTCE Mathematics: Calculus Applications
- NYSTCE Mathematics: Principles of Measurement
- NYSTCE Mathematics: Lines & Angles
- NYSTCE Mathematics: Geometric Construction
- NYSTCE Mathematics: Geometric Shapes
- NYSTCE Mathematics: Triangle Proofs & Theorems
- NYSTCE Mathematics: Geometric Solids
- NYSTCE Mathematics: Conic Sections
- NYSTCE Mathematics: Vector Operations
- NYSTCE Mathematics: Transformations in Geometry
- NYSTCE Mathematics: Coordinate Geometry
- NYSTCE Mathematics: Sequences & Series
- NYSTCE Mathematics: Counting Strategies
- NYSTCE Mathematics: Probability
- NYSTCE Mathematics: Probability Distributions
- NYSTCE Mathematics: Data Analysis & Statistics
- NYSTCE Mathematics: Sampling & Prediction
- NYSTCE Mathematics: Regression & Correlation
- NYSTCE Mathematics: Discrete Mathematics
- NYSTCE Mathematics Flashcards