# Ch 33: NES Math: Foundations of Geometry

### About This Chapter

## NES Math: Foundations of Geometry - Chapter Summary

Use the lessons in this chapter to solidify your learning about geometry fundamentals before taking the NES Math exam. Our videos and quizzes offer information on topics including:

- Definition and principles of the axiomatic system
- Undefined geometry terms
- Properties of geometric figures
- Algebraic laws and geometric postulate

The fun lessons use animations, practice problems and real-world examples to get their points across. Our experts are aware of what's required on the test, and you can contact them if you have questions. Every lesson includes a text transcript with key terms and ideas highlighted. Lesson quizzes and a final chapter exam show you how your knowledge ranks and offers a chance for review where needed.

### NES Math: Foundations of Geometry - Chapter Objectives

Arizona, New Mexico, Oregon, Washington and Wisconsin have made passing the NES Math test one of the conditions for obtaining certification to teach the subject at the secondary level. The test is divided into five content domains. Questions on the material this chapter covers are in the content domain of Measurement and Geometry, which makes up 19% of the test's 150 multiple-choice questions.

You can use our lesson quizzes and the chapter exam to gain experience answering multiple-choice test questions on a computer. Our tests also provide an assessment of your learning, and the answer keys include links back to pertinent parts of the video lessons. That means that, if you miss an answer, it's easy to jump back to the lesson and get the right information.

### 1. The Axiomatic System: Definition & Properties

Learn what kinds of things are included in an axiomatic system in this video lesson. Also learn why consistency, independence, and completeness are important in axiomatic systems.

### 2. Undefined Terms of Geometry: Concepts & Significance

What do points, lines, planes, and sets have in common? Watch this video lesson to find out what they are, what they look like, and why they are called undefined terms.

### 3. Properties and Postulates of Geometric Figures

In geometry, there are some basic postulates that are relied upon as the basis for other theorems. Watch this video to learn about the postulates that deal with points, lines, and planes.

### 4. Algebraic Laws and Geometric Postulates

Watch this video to learn about the basic algebraic laws that are also part of the basic geometric postulates that form the basis for the geometry that we know and study today.

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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: Geometric Figures
- NES Math: Properties of Triangles
- NES Math: Triangle Theorems & Proofs
- NES Math: Parallel Lines & Polygons
- 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
- NES Mathematics Flashcards