About This Chapter
Geometry and the Properties of Shapes - Chapter Summary
Students who need to gain a well-rounded understanding of geometry and properties of shapes can benefit from the lessons in this chapter. Expert instructors provide in-depth analyses of 2D shapes, obtuse angles, rectangles, polygons and much more. Completing this chapter will enable you to:
- Define 2D and 3D shapes
- Describe acute, obtuse and right angles
- Use a protractor to measure angles
- Understand and describe angles of 90, 180, 270 and 360 degrees
- Share the definitions of rectangles and polygons
- Measure the angles of triangles
- Discuss the basics of reflection, rotation and translation
- Demonstrate knowledge of line and rotational symmetries of 2D shapes
This chapter is easy to navigate and can be accessed whenever and wherever you can secure an Internet connection. By selecting the lessons you want to study in their sequence of choice, you can customize their study of geometry and the properties of shapes. A quiz is available with each lesson that allows you to test their comprehension of the concepts it covers. The chapter exam reinforces your knowledge and assesses your readiness to take a test or move ahead in your geometry studies.
1. What are 2D Shapes? - Definition & Examples
In this lesson, you will find out how a flat piece of paper will help you determine what shapes are considered 2D. You will also learn the wide variety of 2D shapes you may encounter in life.
2. What are 3D Shapes? - Definition & Examples
What's the difference between 2D and 3D shapes? Learn the answer to this question in this lesson. You will also explore what makes spheres and cubes 3D shapes.
3. What is an Acute Angle? - Definition, Description & Examples
In this lesson, you'll learn what makes an angle acute and see a few different examples of them. After the lesson, you can test your new knowledge with a brief quiz.
4. What is an Obtuse Angle? - Definition & Examples
In this lesson, you'll learn what angles, right angles, and obtuse angles are; you'll see a few examples of different obtuse angles. Test your knowledge with a brief quiz once you've completed the lesson.
5. What is a Right Angle? - Definition & Formula
In this lesson, you will learn about the properties that identify right angles. You will also discover where right angles can be found and learn about what makes them so useful. You can then test your knowledge with a quiz.
6. How to Measure Angles with a Protractor
You're surrounded by angles at home, at school, and even when you're walking down the street. In this lesson, you'll learn how to measure different angles using a protractor.
7. Angles of 90, 180, 270 & 360 Degrees
Angles make up the physical structures all around us, from street corners and traffic signs, to buildings, to the chair you're sitting on right now. In this lesson, we will explore the key angles of 90, 180, 270, and 360 degrees as they appear in mathematics and in the structures around us.
8. Rectangles: Definition, Properties & Construction
Watch this video lesson to learn a bit about rectangles. Learn why rectangles are the building blocks of many homes. Also, learn about the properties that make a rectangle unique from other shapes. Finally, learn how you can draw one.
9. What Are Polygons? - Definition and Examples
Watch this video lesson to see how the shapes that you grew up with are all related. Learn why the shapes of bricks, stars, and street blocks are considered polygons while the sun, moon, and rolling hills are not.
10. Measuring the Angles of Triangles: 180 Degrees
Watch this video lesson to see why a triangle's angles always add up to 180 degrees. Also, learn how you can use this unique fact about triangles to find an unknown angle in a triangle.
11. 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.
12. Line and Rotational Symmetries of 2-D Shapes
One of the most important concepts in geometry is the idea of symmetry. But what does it actually mean? This lesson explains the difference between line symmetry and rotational symmetry.
13. Graph Functions by Plotting Points
Let's say you have a function. What does it look like? How do you graph it? In this lesson, we'll learn how to graph functions by determining and plotting points.
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Other chapters within the ISEB Common Entrance Exam at 11+ Math: Study Guide & Test Prep course
- Introduction to Numbers
- Place Value and Rounding
- Addition and Subtraction
- Multiplication and Division
- Factors and Prime Numbers
- Mathematical Properties and Mixed Operations
- Using Fractions
- Working with Decimals & Percents
- Ratios and Proportion
- Understanding Algebraic Expressions
- Basics of Measurement
- Basics of Statistics
- ISEB Common Entrance Exam at 11+ Math Flashcards