About This Chapter
Geometric Construction - Chapter Summary
This chapter on geometric construction will help you solve several types of geometry problems and construct various shapes, such as triangles. You'll learn how to draw perpendicular lines and copy line segments using a compass and a straight edge.
The instructors in this chapter will explain various theorems, such as the midpoint theorem and bisector theorem, to help you understand how to cut angles in half and bisect lines. After going through each lesson in the chapter, you should be able to:
- Use geometric construction to copy line segments and angles, as well as draw perpendicular lines
- Construct triangles
- Use the angle bisector theorem to cut angles in half
- Bisect a line without measurements
- Understand the purpose of the midpoint theorem
This chapter's lessons are typically less than 10 minutes in length and taught by expert math instructors who teach geometry concepts in a straightforward and engaging manner. These videos help you quickly and efficiently learn essential geometry definitions and concepts by including highlighted definitions and interactive timelines that allow you to jump to specific topics. Practice quizzes are included to help you make sure you fully understand the lesson topics. Designed with convenience and flexibility in mind, we've made these lessons accessible at any time, day or night, and you can access the material using any computer, mobile device or tablet.
1. Constructing Perpendicular Lines in Geometry
In this video lesson, you will see how to use geometric construction to draw perpendicular lines. Learn why geometric construction is useful. Also find out the only two tools in addition to your pencil that you need to do this.
2. Geometric Constructions Using Lines and Angles
Watch this video lesson to learn about geometric construction and how you can copy line segments and angles without using any numbers. All you need is a straight edge and a compass.
3. Constructing Triangles: Types of Geometric Construction
When you're asked to construct a triangle, it's time to break out that compass and straight edge! In this lesson, find out how to construct triangles no matter what you're given.
4. Constructing an Angle Bisector in Geometry
Watch this video lesson to learn a cool way to split an angle in half. You can use this method to split a pie slice in half where you can be sure each side is equal.
5. Line Segment Bisection & Midpoint Theorem: Geometric Construction
Watch this video lesson and you will learn how to bisect a line segment without measurements using just a compass and a straight edge. You'll also learn about the midpoint theorem, which lets you calculate the midpoint if you have the measurements.
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Other chapters within the Pennsylvania Grades 4-8 - Math Subject Concentration (5158): Practice & Study Guide course
- Real & Rational Numbers
- Exponents & Operations
- Properties of Operations
- Fractions, Decimals & Percents
- Ratios, Rates & Proportional Relationships
- Number Theory & Estimation
- Radical & Exponential Expressions
- Linear Equations & Inequalities
- Nonlinear Equations & Inequalities
- Systems of Equations
- Sequences & Patterns in Math
- Understanding & Comparing Functions
- Function Graphs & Models
- Perimeter, Area & Volume Overview
- Properties of Angles & Lines
- Properties of Shapes Overview
- Geometric Relationships & Transformations
- Systems of Measurement & Conversion
- Data Interpretation in Math
- Dispersion & Probability Models
- Logical Reasoning & Visual Representations of Data
- Pennsylvania Grades 4-8 - Math Subject Concentration (5158) Flashcards