About This Chapter
Geometry of Congruent & Similar Figures - Chapter Summary
This fun chapter enables you to gain full comprehension of the geometry of congruent and similar figures without setting foot in a traditional classroom. View engaging lessons anywhere you can access an Internet connection using your computer, smartphone or tablet. These lessons can improve your understanding of topics that include proportional relationships in figures, tessellations and similar figures. Find out how much you understand about these topics by taking mini quizzes and a practice exam. Once you've completed this chapter, you will be able to do the following:
- List properties of congruent and similar shapes
- Understand similarity in geometric shapes
- Define and share examples of similar and congruent figures
- Discuss proportional relationships in triangles
- Provide the definition of a tessellation
1. Properties of Congruent and Similar Shapes
In this lesson, we'll look at triangles, rectangles and other shapes that share properties. This includes both congruent and similar shapes. We'll also practice identifying the missing properties of these shapes.
2. Similarity in Geometric Shapes
View this lesson to learn how you can determine whether shapes are similar. Find out how to use the one rule that tells you when your two shapes are geometrically similar.
3. Similar Figures: Definition & Examples
Similar figures show up quite often in the world around us. In this lesson, we will discuss similar figures and their properties. At the end of the lesson, you can test your knowledge with a quiz.
4. What Are Congruent Figures? - Definition & Examples
In this lesson, you'll learn what congruent figures are. You'll also see a few examples of congruent and non-congruent figures. Then, test your knowledge with a brief quiz.
5. Proportional Relationships in Triangles
The perimeters of the two triangles, corresponding medians, corresponding angle bisectors, and corresponding altitudes are all similar. In this lesson, you'll learn about some of the proportional relationships in similar triangles.
6. What is a Tessellation?
Did you know that most kitchen floor tiles are tessellations? Read this lesson and you'll find out why and how you can create and design your own tessellation using many different shapes.
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Other chapters within the 8th Grade Math course
- Number Systems & Theory
- Problem-Solving in Real World Math
- Algebraic Expressions & Equations
- Graphing Lines & Inequalities
- Proportional Relationships & Linear Equations
- 6th-8th Grade Algebra: Systems of Linear Equations
- Graphical Transformations
- Geometry & Properties of Triangles
- Geometry of Three-Dimensional Objects
- Evaluating & Calculating Probability
- Measuring & Graphing Statistical Distributions