# Ch 38: Saxon Algebra 2: Proofs

### About This Chapter

## How It Works:

- Identify the lessons in the Saxon Proofs chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the proofs topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

## Students will learn:

- Components of geometric proofs
- Proofs for segments, lines and rays
- Proofs for angles
- Circle proofs
- Parallelogram proofs
- Proofs for rhombuses
- Isosceles trapezoids proofs
- Proofs for triangles
- Polygon proofs

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### 1. Geometric Proofs: Definition and Format

Do you have something to prove? Can you explain why? In this lesson, we'll learn all about geometric proofs, including the parts that comprise a proof.

### 2. Proofs for Lines, Segments or Rays

In this lesson, you will look at the proofs for theorems about lines and, line segments or rays. You will see how theorems and postulates are used to build new theorems. This process is how new ideas in geometry are proven to be true. It is like using old tools and supplies to build new tools that can do things the old ones could not.

### 3. Proofs for Angles

In this lesson, you will look at an overview of angles and their common properties. It then goes on to prove some of the common theorems related to angles with the help of illustrations.

### 4. Proofs for Circles

Circles are familiar to us inside and outside of mathematics. We know that they're round, that the area of a circle is equal to πr², and that they have a circumference of 2πr. In this lesson, we will explore other interesting properties of circles.

### 5. Geometric Proofs for Polygons

Watch this video lesson to learn why it is important for you to learn how to do formal proofs in geometry. Also learn how to set up a proof and how to successfully execute one.

### 6. Proofs for Parallelograms

In this lesson, you will learn about important theorems related to parallelograms. You will also explore their detailed proofs with the help of illustrations.

### 7. Proofs for Rhombuses

In this lesson, you will learn about important theorems related to rhombuses. You will also explore their detailed proofs with the help of illustrations.

### 8. Proofs for Isosceles Trapezoids

In this lesson, you will learn what an isosceles trapezoid is and the important theorems related to it. You will also understand the proofs of these theorems with clear steps.

### 9. Proofs for Triangles

Triangles are perhaps the most important shape and have more theorems than any other polygon. In this lesson we'll explore just a few of those important facts about triangles and why those facts are true.

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### Other Chapters

Other chapters within the Saxon Algebra 2 Homeschool: Online Textbook Help course

- Saxon Algebra 2: Decimal Numbers
- Saxon Algebra 2: Graphs on the Coordinate Plane
- Saxon Algebra 2: Sets
- Saxon Algebra 2: Real Numbers
- Saxon Algebra 2: Complex Numbers
- Saxon Algebra 2: Conversion by Unit Multipliers
- Saxon Algebra 2: Ratio & Proportion
- Saxon Algebra 2: Percent
- Saxon Algebra 2: Rate
- Saxon Algebra 2: Exponents
- Saxon Algebra 2: Exponents on a Scientific Calculator
- Saxon Algebra 2: Roots
- Saxon Algebra 2: Probability
- Saxon Algebra 2: Statistics
- Saxon Algebra 2: Simplifying Expressions
- Saxon Algebra 2: Polynomials
- Saxon Algebra 2: Simplifying Rational Expressions
- Saxon Algebra 2: Simplifying and Solving Equations
- Saxon Algebra 2: Linear Equations
- Saxon Algebra 2: Solving Linear Equations
- Saxon Algebra 2: Quadratic Equations
- Saxon Algebra 2: Other Types of Equations
- Saxon Algebra 2: Understanding Functions
- Saxon Algebra 2: Manipulating and Evaluating Functions
- Saxon Algebra 2: Trigonometry
- Saxon Algebra 2: Logarithms
- Saxon Algebra 2: Lines, Points, Segments, and Planes
- Saxon Algebra 2: Angles
- Saxon Algebra 2: Polygons
- Saxon Algebra 2: Circles
- Saxon Algebra 2: Triangles
- Saxon Algebra 2: Geometric Solids
- Saxon Algebra 2: Perimeter and Circumference
- Saxon Algebra 2: Area
- Saxon Algebra 2: Surface Area and Volume
- Saxon Algebra 2: Constructions
- Saxon Algebra 2: Postulates & Pythagorean Theorem