About This Chapter
Reviewing Basic Geometry Concepts - Chapter Summary
What is a polygon? What are the applications of the Pythagorean theorem? How do you find the surface area of various shapes? These are among the questions you'll find addressed in the video and text lessons in this chapter.
The lessons contain detailed definitions, illustrations and examples of formula applications, properties and functions that can help you build a deeper understanding of such concepts as perpendicular lines, convex shapes, coordinate geometry and more. Once you have finished studying this chapter, you should be able to:
- Apply the formula to determine line segments
- Understand angles formed by intersecting lines
- Identify perpendicular and parallel lines
- Detail what convex shapes and functions are
- Explain the Pythagorean theorem and understand its use in coordinate geometry
- Relate the properties of various shapes, such as triangles, polygons, circles and parallelograms
- Use common formulas to find the volume of shapes
- Find the surface areas of a cylinder, cube and rectangular prism
This chapter makes it easy to learn complex topics with expert instruction and short and engaging lessons that are accessible 24/7 from any device. View the lessons as often as needed and print the text lessons or video transcripts to create handy offline reference materials. Use the self-assessment quizzes to determine if you have mastered each concept or need further review of any topic addressed in these lessons.
1. What is a Line Segment in Geometry? - Definition, Formula & Example
Line segments are essential elements to many geometric concepts. In this lesson you will explore line segments in geometry, learn the formula for finding the length of a line segment, review what you've learned with some examples, and test your understanding with a short quiz.
2. Angles Formed by Intersecting Lines
When two lines intersect, there are many different types of angles that may be created. Some you already may have learned about, and others you may never have heard of before. Many types of angles are shown and defined herein.
3. Identifying Perpendicular Lines in Geometric Shapes
Do you know what a perpendicular line is? Do you know how to spot one in a geometric shape? This lesson will tell you how to spot perpendicular lines in squares, rectangles, triangles, and trapezoids.
4. What are Parallel Lines? - Definition & Concept
In this lesson, you will learn about parallel lines and how you can identify and label them. You'll also find out how they are similar to things found in everyday life.
5. What is a Polygon? - Definition, Shapes & Angles
Polygons are everywhere! In this lesson, you will learn what they are and what they look like. You will also learn about a special class of polygons and how to find its angles.
6. Convex: Definition, Shape & Function
In this lesson, we will discuss the definition of convex, look at convex shapes and convex functions, and learn how to identify them through rules and examples.
7. Types of Triangles & Their Properties
This lesson introduces different types of triangles. We'll discuss some different characteristics that are common to all triangles and some properties that are unique to certain types of triangles.
8. The Pythagorean Theorem: Practice and Application
The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.
9. 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.
10. 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.
11. Inscribed and Circumscribed Figures: Definition & Construction
A square and a circle may be different shapes, but they still can have a unique relationship. In this lesson, we'll learn about inscribed and circumscribed figures.
12. Volumes of Shapes: Definition & Examples
Volume is defined as the 3-dimensional space enclosed by a boundary. In this lesson we will define volume, give some of the most common formulas and then work some example problems to become familiar with the formulas. There will be a quiz at the end of the lesson for practice.
13. How to Find Surface Area of a Cube and a Rectangular Prism
After watching this video lesson, you will be able to use the formula for the surface area of a rectangular prism. You will know what measurements you need to use it and how you can apply it to a cube as well.
14. How to Find Surface Area of a Cylinder
Watch this video lesson to learn the formula you can use to find the surface area of a cylinder. Learn the measurements that you'll need as well as how to use them.
15. Coordinate Geometry Definitions & Formulas
This lesson will provide definitions and examples of coordinate geometry problems. Formulas and terms that are used in coordinate geometry will be explained.
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