# Ch 42: ASVAB: Geometry & Algebra

### About This Chapter

## ASVAB: Geometry & Algebra - Chapter Summary

Our handy compilation of video lessons and written transcripts will guide your study for the math sub-tests of the Armed Services Vocational Aptitude Battery (ASVAB). The test will measure your knowledge of geometry and algebra, including related theorems, formulas, angles and points. All the following concepts are covered in this comprehensive chapter:

- Lines, points and angles in geometry
- Properties of shapes and right triangles
- Use of the Pythagorean theorem
- Obtuse, complementary, interior, alternate, supplementary, straight, corresponding and vertical angles
- Perimeter and area of triangles and rectangles, and the circumference and area of circles
- Various parts of graphs
- Plotting of points on a coordinate plane
- Finding and applying the slope of a line

Maybe you'd rather read all your lessons instead of watching video presentations? We've got you covered, with full lesson transcripts for all. If you run into any questions not answered within the lessons, contact our subject-matter experts for further clarification. By taking the short quiz that follows each lesson, in addition to the brief chapter test, you'll know right away if any topics require more attention before you tackle the ASVAB.

### ASVAB: Geometry & Algebra Objectives

There are two math sub-tests of the ten appearing on the ASVAB. These are especially important, since they're also two of the four that will determine your eligibility for enlistment. The Arithmetic Reasoning portion assesses your competencies in solving math word problems, and the Mathematics Knowledge section checks your skills related to high school math principles. You can take the complete battery on a computer or with pencil and paper, and our multiple-choice assessments give you valuable practice for test day.

### 1. Points, Lines & Angles in Geometry

After watching this video lesson, you should understand the basic terms that form the foundation of geometry. Learn what a point is, what a line is, what an angle is, and learn about a special type of angle called a right angle.

### 2. What is an Acute Angle? - Definition, Description & Examples

In this lesson, you'll learn what makes an angle acute and see a few different examples of them. After the lesson, you can test your new knowledge with a brief quiz.

### 3. What is an Obtuse Angle? - Definition & Examples

In this lesson, you'll learn what angles, right angles, and obtuse angles are; you'll see a few examples of different obtuse angles. Test your knowledge with a brief quiz once you've completed the lesson.

### 4. Complementary Angles: Definition, Theorem & Examples

In this lesson, we will define complementary angles and see how they may appear in diagrams. We will discuss two common theorems that involve complementary angles. Then you can test your knowledge with a quiz.

### 5. Supplementary Angle: Definition & Theorem

There are many important angle pairs in geometry. In this lesson, we'll learn about supplementary angles, including what they are, where they are used, and why you need to know about them.

### 6. What is a Straight Angle? - Definition & Example

This lesson will be an explanation of what a straight angle is. It will include several examples that fully demonstrate the straight angle in contrast with other angles.

### 7. Types of Angles: Vertical, Corresponding, Alternate Interior & Others

In addition to basic right, acute, or obtuse angles, there are many other types of angles or angle relationships. In this lesson, we will learn to identify these angle relationships and discuss their measurements.

### 8. Properties of Shapes: Triangles

Isosceles, equilateral and obtuse, oh my! These are terms for triangles. But, what do they mean? In this lesson, we'll explore the properties of triangles and take a closer look at the different types of triangles you may encounter.

### 9. Properties of Right Triangles: Theorems & Proofs

In this lesson, you will learn about the properties of and theorems associated with right triangles, which have a wide range of applications in math and science. Specifically, we will discuss and prove the Pythagorean theorem and the right triangle altitude theorem. Let's get started.

### 10. The Pythagorean Theorem: Practice and Application

The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.

### 11. Perimeter of Triangles and Rectangles

Without realizing it, we calculate and use the perimeter of triangles and rectangles in regular everyday situations. Learn more about the perimeter of triangles and rectangles in this lesson, and test your knowledge with a quiz.

### 12. Area of Triangles and Rectangles

How do you find out the area of rectangles and triangles? Learn how in this lesson! We'll look at the formulas, then practice solving problems for each shape.

### 13. Properties of Shapes: Circles

Circles are fundamental to everything we do. But, did you know they're much more than just round shapes? In this lesson, we'll look at the various parts of circles and how they all relate.

### 14. Circles: Area and Circumference

Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.

### 15. What Are the Different Parts of a Graph?

Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.

### 16. Plotting Points on the Coordinate Plane

If you'll be working with a graph, otherwise known as the coordinate plane, it's essential to understand how it works. This includes learning the parts of a graph, identifying points and plotting points.

### 17. How to Find and Apply The Slope of a Line

In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.

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### Other Chapters

Other chapters within the ASVAB Armed Services Vocational Aptitude Battery: Practice & Study Guide course

- ASVAB: Cell Biology
- ASVAB: Respiration & Photosynthesis
- ASVAB: Cell Division
- ASVAB: Genetics
- ASVAB: Evolution
- ASVAB: Classification
- ASVAB: Plant Biology
- ASVAB: Animal Biology
- ASVAB: Nutrition
- ASVAB: The Human Digestive System
- ASVAB: The Human Respiratory & Circulatory Systems
- ASVAB: The Human Excretory System
- ASVAB: The Human Endocrine System
- ASVAB: The Human Nervous System
- ASVAB: Human Reproduction
- ASVAB: Ecology
- ASVAB: Matter & Atomic Structure
- ASVAB: The Periodic Table
- ASVAB: Chemical Reactions & Bonding
- ASVAB: Measurement
- ASVAB: Nuclear Chemistry
- ASVAB: Motion
- ASVAB: Force
- ASVAB: Energy & Work
- ASVAB: Fluids
- ASVAB: Waves & Sound
- ASVAB: Geology
- ASVAB: Meteorology
- ASVAB: Oceanography
- ASVAB: Astronomy
- ASVAB: Understanding Words & Context
- ASVAB: Paragraph Comprehension
- ASVAB: Numbers
- ASVAB: Mathematical Operations
- ASVAB: Math Word Problems
- ASVAB: Numbers & Operations
- ASVAB: Fractions
- ASVAB: Basic Expressions
- ASVAB: Solving Equations
- ASVAB: Exponents
- ASVAB: Polynomials
- ASVAB: Electric Force & Charge
- ASVAB: Magnetism
- ASVAB: Electric Circuits
- ASVAB: Power, Devices & Computers
- ASVAB: Mechanical Comprehension
- ASVAB: Assembling Objects
- ASVAB Armed Services Vocational Aptitude Battery Flashcards