Ch 16: Properties of Shapes Overview

About This Chapter

The fun video and text lessons in this chapter can help you better understand the properties of shapes. Access this overview anytime to ensure you have a good grasp of the Pythagorean theorem, special right triangles, circles and more.

Properties of Shapes Overview - Chapter Summary

This chapter is filled with engaging lessons that make learning about the properties of shapes fun. Review these lessons at your own pace to get a quality overview of shapes like triangles and circles along with their properties. Review definitions and examples to ensure you fully comprehend this chapter. When finished, you will be ready to:

  • Use sides and angles when classifying triangles
  • Identify properties of right triangles and special right triangles
  • Define and utilize the Pythagorean theorem
  • Describe properties of circles, rectangles, squares, quadrilaterals, parallelograms and much more
  • Find the area, circumference, diameter and radius of a circle
  • Demonstrate knowledge of arc lengths

Access these lessons from any computer, smartphone or tablet when most convenient for your busy schedule. Review them in any sequence and as often as needed until you fully comprehend the properties of various shapes. Gauge your knowledge of this subject area by taking short lesson quizzes and a chapter exam. Any questions you have about lesson topics can be submitted to our experts.

11 Lessons in Chapter 16: Properties of Shapes Overview
Test your knowledge with a 30-question chapter practice test
Classifying Triangles by Angles and Sides

1. Classifying Triangles by Angles and Sides

Not all triangles are the same. There are equilateral, isosceles and scalene triangles. Then there are right, acute and obtuse triangles. In this lesson, we'll learn how to classify triangles using their sides and angles.

Properties of Right Triangles: Theorems & Proofs

2. 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.

Special Right Triangles: Types and Properties

3. Special Right Triangles: Types and Properties

Not all right triangles are the same. In this lesson, we'll look at two special right triangles (30-60-90 and 45-45-90) that have unique properties to help you quickly and easily solve certain triangle problems.

Pythagorean Theorem: Definition & Example

4. Pythagorean Theorem: Definition & Example

Learn what the Pythagorean Theorem says about a right triangle and the relationships of its three sides to each other by watching this video lesson. Also learn how you can use this to your advantage when solving problems.

Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons

5. Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons

Four-sided objects are more than just squares and rectangles. In this lesson, we'll discuss quadrilaterals, parallelograms and trapezoids. We'll also discuss polygons, objects that can have more sides than you can count.

Properties of Shapes: Rectangles, Squares and Rhombuses

6. Properties of Shapes: Rectangles, Squares and Rhombuses

What's the difference between a square and a rectangle? What about a rhombus and a square? In this lesson, we'll look at the properties of these shapes.

Properties of Shapes: Circles

7. 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.

Circles: Area and Circumference

8. 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.

How to Find the Diameter of a Circle: Definition, Formula & Example

9. How to Find the Diameter of a Circle: Definition, Formula & Example

Learn the definition of the diameter of a circle and how to find it using a simple formula. See some examples, then test your knowledge with a short quiz.

How to Find the Radius of a Circle: Definition & Formula

10. How to Find the Radius of a Circle: Definition & Formula

In this lesson, you will discover the definition of a radius. You will also learn how to find the radius of a circle using three different formulas based on diameter, circumference, and area.

Arc Length of a Sector: Definition and Area

11. Arc Length of a Sector: Definition and Area

In this lesson, we'll slice up a circle like it's a pizza and learn how to find out useful information about our slices. We'll find out the area of these sectors, or pie slices. We'll also learn about arc lengths.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support