# Ch 33: AEPA Math: Foundations of Geometry

### About This Chapter

## AEPA Math: Foundations of Geometry - Chapter Summary

As you work through the engaging video lessons in this chapter, you will study the geometrical foundations concepts you'll likely run into on the AEPA Math test. Chapter topics include:

- The axiomatic system
- Undefined terms
- Geometric postulates
- Properties of geometric figures
- Geometric applications of algebra

Take the quick self-assessment after each lesson to gauge your mastery of the ideas and pinpoint areas requiring additional review. If you have any questions about the concepts presented in this chapter, don't hesitate to reach out to our instructors for assistance.

### Objectives of the AEPA Math: Foundations of Geometry Chapter

This chapter covers the information you'll likely encounter under the measurement and geometry content domain of the AEPA Math assessment, which accounts for 19% of your score. The remaining four domains are weighted as follows: mathematical processes and number sense (19%); trigonometry and calculus (19%); statistics, probability and discrete mathematics (19%); and patterns, algebra and functions (24%).

You will have four hours and fifteen minutes to complete all 150 multiple-choice items on the assessment. Use the lesson quizzes to introduce yourself to the AEPA format- questions are styled after items from the exam.

### 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 AEPA Mathematics (NT304): Practice & Study Guide course

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