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Ch 8: Understanding & Measuring Shapes

About This Chapter

This chapter on understanding and measuring shapes can boost your understanding of surface area, transverse lines, and inscribed angles. These lessons will assist you with getting prepared to take an exam or engage in a class discussion.

Understanding & Measuring Shapes - Chapter Summary

By going through the lessons in this chapter on shapes, you can improve your knowledge of how to locate complementary angles, interpret circle graphs, and classify triangles. The steps for calculating the volume of prisms and pyramids is also covered in these engaging lessons. After completing this chapter, you should be able to do the following:

  • Explain how to count to find the area of a shape
  • Calculate the circumference of circles
  • Provide examples of central and inscribed angles
  • Define perimeter and surface area
  • Calculate the volume of cylinders using real-world examples
  • Solve angles in triangles
  • Discuss symmetry in math and identify shapes that have a line of symmetry
  • Define reflection, rotation, and translation

Our instructors are skilled at helping you absorb the concepts presented on this topic. A short quiz is available to test your knowledge after each lesson, and the quizzes can be printed for use as worksheets. Additionally, the quizzes link back to specific topics in the video, so if you get a question wrong you can quickly go back and review that particular topic.

15 Lessons in Chapter 8: Understanding & Measuring Shapes
Test your knowledge with a 30-question chapter practice test
Area: Definition & Counting Method

1. Area: Definition & Counting Method

Watch this video lesson to learn what area is and how you can count to find the area of certain shapes. You will see how you can use blocks to help you visualize the problem and find your answer.

Circles: Area and Circumference

2. 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.

Complementary, Supplementary, Vertical & Adjacent Angles

3. Complementary, Supplementary, Vertical & Adjacent Angles

After watching this video lesson, you will know how to locate complementary, supplementary, vertical, and adjacent angles. You will understand how easy it is to visually see them. You will also know what to look for.

Central and Inscribed Angles: Definitions and Examples

4. Central and Inscribed Angles: Definitions and Examples

When we're working with circles, there are two key angles to know: central angles and inscribed angles. These angles have a few special theorems, which we'll discuss and practice using in this lesson.

Reading & Interpreting Circle Graphs & Central Angles

5. Reading & Interpreting Circle Graphs & Central Angles

Circle graphs are some of the most useful graphical descriptions of data around. However, without knowing how to find central angles, their usefulness is limited, and their creation is difficult. In this lesson, we learn how to find central angles while using and creating circle graphs.

What is Perimeter? - Definition & Formula

6. What is Perimeter? - Definition & Formula

In mathematics, the perimeter is the distance around a two-dimensional shape. The formula for finding the perimeter of certain shapes will be discussed in this lesson, and there will be some examples to help you understand how to calculate the perimeter.

What is Surface Area? - Definition & Formulas

7. What is Surface Area? - Definition & Formulas

In this lesson, you use general and specific formulas to learn how to find the surface area of three-dimensional shapes, such as cubes, prisms, spheres, cones and cylinders.

Volume of Prisms and Pyramids

8. Volume of Prisms and Pyramids

In this lesson, we'll learn about prisms and pyramids. We'll look at the different types of prisms and pyramids, as well as practice calculating volume for each shape.

Volume of Cylinders, Cones, and Spheres

9. Volume of Cylinders, Cones, and Spheres

In this lesson, we'll learn about the volume formulas for cylinders, cones and spheres. We'll also practice using the formula in a variety of real-world examples where knowing how to calculate volume is helpful.

Classifying Triangles by Angles and Sides

10. 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.

Angles and Triangles: Practice Problems

11. Angles and Triangles: Practice Problems

Want more practice solving with angle pairs? How about more review for solving angles in triangles? Look no further. Get more practice here, and test your ability with a quiz.

What is Symmetry in Math? - Definition & Concept

12. What is Symmetry in Math? - Definition & Concept

Symmetry occurs in many areas of mathematics. This lesson explains symmetry in math and explores the three basic types of symmetry: rotational symmetry, reflection symmetry, and point symmetry.

What is a Line of Symmetry in Geometric Shapes?

13. What is a Line of Symmetry in Geometric Shapes?

After viewing this lesson, you should be able to identify shapes that have a line of symmetry in them and know how to find where this line is. A short quiz to test your knowledge will follow the lesson.

Parallel, Perpendicular and Transverse Lines

14. Parallel, Perpendicular and Transverse Lines

What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.

Reflection, Rotation & Translation

15. Reflection, Rotation & Translation

This lesson will define reflection, rotation, and translation as they relate to math. It will also show you an example of each one so that you can perform these transformations on your own.

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

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