# Ch 30: SBA Math - Grade 8: Similar Polygons

### About This Chapter

## SBA Math Grade 8: Similar Polygons - Chapter Summary

Your child can use the lessons in this chapter as part of his or her review of similar polygons, for the SBA Math Grade 8 Exam. The videos go over all the important concepts they need to know, including:

- Ratios and rates
- Geometric mean
- Solving problems involving proportions
- Similar polygons
- Similar triangles and their properties
- Use of the triangle proportionality theorem
- Constructing similar polygons
- Properties of right triangles

Our knowledgeable instructors present each concept thoroughly and clearly, highlighting the most important features. The videos can be re-watched as often as needed, and your student can request help with these topics by utilizing the designated dashboard feature.

### Objectives of the SBA Math Grade 8: Similar Polygons Chapter

The SBA Math Grade 8 Exam is a standardized test designed to evaluate your child's proficiency with eighth-grade mathematics. The lessons in this Similar Polygons chapter correspond to the Concepts and Procedures objective, which makes up the majority of the test questions. By taking the self-assessment quizzes that accompany the video lessons, you and your child can see how well he or she has mastered the concepts, and they will gain valuable experience with the kinds of questions that will appear on the actual test.

There are several different types of questions on the exam. The majority are multiple-choice. For these, your child will need to select the correct answer from several possibilities presented. There are also more complex mathematical problems called 'tasks'. Finally the child's ability to apply mathematical principles and practices to solve real-world problems will be assessed.

### 1. Geometric Mean: Definition and Formula

Watch this video lesson to learn how different the geometric mean is from the arithmetic mean, or average, that we are all so familiar with. Learn in what circumstance the geometric mean is preferred. Also, learn the formula and how to use it.

### 2. Solving Problems Involving Proportions: Definition and Examples

Learn how you can use proportions to find missing sides and how to increase or decrease the sizes of objects to create models of them in this video lesson.

### 3. Similar Polygons: Definition and Examples

Watch this video to learn what makes two polygons similar to each other. You'll also learn the one distinguishing aspect of similar polygons and see an example of how to compare two polygons.

### 4. Similar Triangles & the AA Criterion

This video lesson explains the AA criterion and shows you why you only need two corresponding angles to be equal for two triangles to be similar. You will also see how you can use it to help you identify similar triangles.

### 5. The Transitive Property of Similar Triangles

Watch this video lesson and you will understand what the transitive property is and how it applies to similar triangles. Watch as we apply the transitive property to three similar triangles.

### 6. Triangle Proportionality Theorem

Watch this video lesson to learn all about the triangle proportionality theorem and how you can use this interesting theorem to help you solve problems. Learn how a parallel line can create sides that are proportional to each other.

### 7. Constructing Similar Polygons

This lesson will teach you how to construct similar polygons, which are very useful in many quantitative fields. You'll learn that all of this has something to do with, of all things, snowflakes!

### 8. 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.

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### Other Chapters

Other chapters within the Smarter Balanced Assessments - Math Grade 8: Test Prep & Practice course

- SBA Math - Grade 8: Basic Arithmetic Operations
- SBA Math - Grade 8: Logic & Mathematical Reasoning
- SBA Math - Grade 8: Number Theory
- SBA Math - Grade 8: Introduction to Fractions
- SBA Math - Grade 8: Operations with Fractions
- SBA Math - Grade 8: Ratios, Rates & Proportions
- SBA Math - Grade 8: Percents
- SBA Math - Grade 8: Introduction to Decimals
- SBA Math - Grade 8: Operations with Decimals
- SBA Math - Grade 8: The Coordinate Graph
- SBA Math - Grade 8: Inequalities
- SBA Math - Grade 8: Factoring
- SBA Math - Grade 8: Rational Numbers
- SBA Math - Grade 8: Roots & Radical Expressions
- SBA Math - Grade 8: Exponents & Exponential Expressions
- SBA Math - Grade 8: Basic Algebraic Expressions
- SBA Math - Grade 8: Writing Algebraic Expressions
- SBA Math - Grade 8: Algebraic Distribution
- SBA Math - Grade 8: Rational Expressions
- SBA Math - Grade 8: Linear Equations
- SBA Math - Grade 8: Systems of Linear Equations
- SBA Math - Grade 8: Properties of Functions
- SBA Math - Grade 8: Graphing Functions
- SBA Math - Grade 8: Symmetry, Similarity & Congruence
- SBA Math - Grade 8: Lines & Angles
- SBA Math - Grade 8: Perimeter & Area
- SBA Math - Grade 8: Surface Area & Volume of Geometric Solids
- SBA Math - Grade 8: Triangles
- SBA Math - Grade 8: Triangle Theorems & Proofs
- SBA Math - Grade 8: The Pythagorean Theorem
- SBA Math - Grade 8: Transformations
- SBA Math - Grade 8: Data & Graphs
- SBA Math - Grade 8: Statistics
- SBA Math - Grade 8: Probability
- SBA Math - Grade 8: Rate of Change
- Smarter Balanced Assessments - Math Grade 8 Flashcards