# Ch 37: NES Math: Parallel Lines & Polygons

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### About This Chapter

## NES Math: Parallel Lines & Polygons - Chapter Summary

Use this chapter's lessons to refresh your knowledge of parallel lines and polygons as well as some tecnhiques for measuring and evaluating them. Our videos let you prepare for NES Math test questions on:

- Transversals and the angles they form
- Ways to prove lines are parallel, including the use of converse statements
- The parallel postulate
- Indirect proof
- Regular polygons
- How to determine the number of diagonals in a polygon
- How to find the area and perimeter of polygons
- How to measure the angles in a polygon

You can watch these brief lessons whenever your schedule allows, using a laptop, smartphone or tablet. Every lesson is followed by a short quiz that lets you evaluate your knowledge, and a comprehensive exam is offered at the end of the chapter. We've provided a Timeline with every video to make it easy for you to return to key points in the lesson for review, and we also offer text transcripts of each lesson with important terms and concepts in bold type.

### NES Math: Parallel Lines & Polygons Chapter Objectives

In five states, certification to teach mathematics at the secondary level calls for passing the NES Math course. This 150-question test is divided into five content domains, and questions on parallel lines and polygons are in the section on measurement and geometry, which makes up 19% of the total test score.

Like our lesson quizzes and the chapter exam, every question on the NES Math test is multiple-choice, and the test is administered by computer. Completing them will give you a feel for what you'll encounter on the NES Math test in addition to allowing you to assess your level of retention.

### 1. Angles Formed by a Transversal

When you have a pair of parallel lines and a transversal, something very interesting happens to the angles that are formed. You can see this happen in real life at street intersections and such. Watch this video lesson to learn about all of this.

### 2. 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.

### 3. 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.

### 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. Regular Polygons: Definition & Parts

What makes a polygon a polygon? And what shapes are considered polygons? In this lesson, find out the answers to these questions and more as we learn all about polygons and their parts.

### 6. How to Find the Number of Diagonals in a Polygon

At first, you might think that the diagonals of a polygon are pretty useless, but watch this video lesson to learn how diagonals are used in real life. You will learn the formula to find how many diagonals a polygon has as well as how to use it.

### 7. Finding the Perimeter of Polygons

In this video lesson, you will learn the process you need to take to find the perimeter of polygons. You will also learn that there is a shortcut if your polygon is a regular polygon.

### 8. Measuring the Area of Regular Polygons: Formula & Examples

Watch this video lesson to learn why a regular polygon makes your life easier when it comes to finding the area inside one. Learn the one formula for area that will work for any type of regular polygon.

### 9. How to Measure the Angles of a Polygon & Find the Sum

Watch this video lesson to learn the one formula that lets you find the measure of angles in any regular polygon. Also, learn how you can tell if you are working with a regular polygon or not.

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### Other Chapters

Other chapters within the NES Mathematics (304): Practice & Study Guide course

- NES Math: Properties of Real Numbers
- NES Math: Fractions
- NES Math: Decimals & Percents
- NES Math: Ratios & Proportions
- NES Math: Units of Measure & Conversions
- NES Math: Logic
- NES Math: Reasoning
- NES Math: Vector Operations
- NES Math: Matrix Operations & Determinants
- NES Math: Exponents & Exponential Expressions
- NES Math: Algebraic Expressions
- NES Math: Linear Equations
- NES Math: Inequalities
- NES Math: Absolute Value
- NES Math: Quadratic Equations
- NES Math: Polynomials
- NES Math: Rational Expressions
- NES Math: Radical Expressions
- NES Math: Systems of Equations
- NES Math: Complex Numbers
- NES Math: Functions
- NES Math: Piecewise Functions
- NES Math: Exponential & Logarithmic Functions
- NES Math: Continuity of Functions
- NES Math: Limits
- NES Math: Rate of Change
- NES Math: Derivative Rules
- NES Math: Graphing Derivatives
- NES Math: Applications of Derivatives
- NES Math: Area Under the Curve & Integrals
- NES Math: Integration Techniques
- NES Math: Applications of Integration
- NES Math: Foundations of Geometry
- NES Math: Geometric Figures
- NES Math: Properties of Triangles
- NES Math: Triangle Theorems & Proofs
- NES Math: Quadrilaterals
- NES Math: Circles & Arc of a Circle
- NES Math: Conic Sections
- NES Math: Geometric Solids
- NES Math: Analytical Geometry
- NES Math: Trigonometric Functions
- NES Math: Trigonometric Graphs
- NES Math: Solving Trigonometric Equations
- NES Math: Trigonometric Identities
- NES Math: Sequences & Series
- NES Math: Graph Theory
- NES Math: Set Theory
- NES Math: Statistics Overview
- NES Math: Summarizing Data
- NES Math: Tables, Plots & Graphs
- NES Math: Probability
- NES Math: Discrete Probability Distributions
- NES Math: Continuous Probability Distributions
- NES Math: Sampling
- NES Math: Regression & Correlation