# Ch 34: 6th-8th Grade Geometry: Introduction to Geometric Figures

### About This Chapter

## 6th-8th Grade Geometry: Introduction to Geometric Figures - Chapter Summary

Use the video lessons in this chapter to identify the tools used for constructing the geometric figures and angles that your elementary and middle school students are learning about in class. Easy and entertaining videos describe different tools, including compasses, reflective devices, and straight edges. Moreover, students will learn to use those tools as they practice constructing angles and bisecting segments. You'll also find support if you need it, since our instructors are available for any of your questions. Find out whether your elementary and middle school students are understanding the materials by having them take multiple-choice lesson quizzes.

## Chapter Lessons and Objectives

Lesson | Objectives |
---|---|

Line Segments & Rays: Definition & Measurement | Identify a ray and a line segment, measure length and distance of line segments, and learn the segment addition postulate. |

Points, Lines & Angles in Geometry | Describe the following geometry terms: right angle, point, degrees, and types of lines. |

Methods & Tools for Making Geometric Constructions | Go over the applications of the following tools: dynamic geometric software, compass, string, paper folding, straightedge, and reflective devices. |

Practice Making Geometric Constructions with Tools | Practice building geometric constructions through the use of the tools listed above. |

Geometric Constructions Using Lines and Angles | Define the term geometric construction, and then copy an angle as well as a line segment through the use of construction. |

Line Segment Bisection & Midpoint Theorem: Geometric Construction | Find the midpoint of any given line segment, and then bisect that segment through construction. |

Dividing Line Segments into Equal Parts: Geometric Construction | Explain the steps for dividing line segments into equal portions. |

Types of Angles: Vertical, Corresponding, Alternate Interior & Others | Determine definitions for the following angles: alternate exterior, vertical, alternate interior, corresponding, and consecutive interior. |

Complementary, Supplementary, Vertical & Adjacent Angles | Learn to recognize different angles, and go over the formulas for measuring angles. |

Constructing an Angle Bisector in Geometry | Analyze the concept of an angle bisector, and then use a straight edge and a compass to bisect an angle with a bisector. |

Constructing Equilateral Triangles, Squares, and Regular Hexagons Inscribed in Circles | Within different circles, use tools to construct various geometric shapes. |

### 1. Line Segments & Rays: Definition & Measurement

Watch this video lesson to learn the difference between a line segment and a ray. You will also learn how to measure and add line segments. Learn why you can't measure or add a ray.

### 2. Points, Lines & Angles in Geometry

After watching this video lesson, you should understand the basic terms that form the foundation of geometry. Learn what a point is, what a line is, what an angle is, and learn about a special type of angle called a right angle.

### 3. Methods & Tools for Making Geometric Constructions

Did you know that it's possible to do math without using numbers? This is exactly what Euclid did when he showed how to solve mathematical problems by drawing them out instead of with numbers.

### 4. Practice Making Geometric Constructions with Tools

There are a number of tools available to geometry students to help make their work a bit easier. In this lesson, we will review how to use many of them in order for you to get the most out of every geometry class.

### 5. 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.

### 6. 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.

### 7. Dividing Line Segments into Equal Parts: Geometric Construction

Watch this video lesson to learn one way to easily divide any line segment into as many equal parts as you need. Also, learn where in real life this skill comes in handy.

### 8. Types of Angles: Vertical, Corresponding, Alternate Interior & Others

In addition to basic right, acute, or obtuse angles, there are many other types of angles or angle relationships. In this lesson, we will learn to identify these angle relationships and discuss their measurements.

### 9. 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.

### 10. 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.

### 11. Constructing Equilateral Triangles, Squares, and Regular Hexagons Inscribed in Circles

Constructing an accurate triangle, square, or hexagon within a circle is a matter of a few simple steps, and can be extremely practical. In this lesson, we'll practice the construction of those three shapes.

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### Other Chapters

Other chapters within the 6th-8th Grade Math: Practice & Review course

- 6th-8th Grade Math: Basic Arithmetic Operations
- 6th-8th Grade Math: Divisibility
- 6th-8th Grade Math: Properties of Numbers
- 6th-8th Grade Math: Number Theory
- 6th-8th Grade Math: Factoring
- 6th-8th Grade Math: Estimating & Rounding
- 6th-8th Grade Math: Whole Numbers
- 6th-8th Grade Math: Simplifying Whole Number Expressions
- 6th-8th Grade Math: Negative Numbers
- 6th-8th Grade Math: Absolute Value
- 6th-8th Grade Math: Integers
- 6th-8th Grade Math: Rational Numbers
- 6th-8th Grade Math: Inequalities
- 6th-8th Grade Math: Introduction to Decimals
- 6th-8th Grade Math: Operations with Decimals
- 6th-8th Grade Math: Introduction to Fractions
- 6th-8th Grade Math: Operations with Fractions
- 6th-8th Grade Math: Percents
- 6th-8th Grade Math: Exponents & Exponential Expressions
- 6th-8th Grade Math: Roots & Radical Expressions
- 6th-8th Grade Algebra: Writing Algebraic Expressions
- 6th-8th Grade Algebra: Basic Algebraic Expressions
- 6th-8th Grade Algebra: Algebraic Distribution
- 6th-8th Grade Algebra: Writing & Solving One-Step Equations
- 6th-8th Grade Algebra: Writing & Solving Two-Step Equations
- 6th-8th Grade Algebra: Simplifying & Solving Rational Expressions
- 6th-8th Grade Math: The Coordinate Graph
- 6th-8th Grade Algebra: Linear Equations
- 6th-8th Grade Algebra: Systems of Linear Equations
- 6th-8th Grade Math: Properties of Functions
- 6th-8th Grade Math: Graphing Functions
- 6th-8th Grade Math: Solving Math Word Problems
- 6th-8th Grade Measurement: Perimeter & Area
- 6th-8th Grade Geometry: Angles
- 6th-8th Grade Measurement: Units of Measurement
- 6th-8th Grade Geometry: Triangles
- 6th-8th Grade Geometry: Quadrilaterals
- 6th-8th Grade Geometry: Circles
- 6th-8th Grade Geometry: Circular Arcs & Measurement
- 6th-8th Grade Geometry: Polyhedrons & Geometric Solids
- 6th-8th Grade Geometry: Symmetry, Similarity & Congruence
- 6th-8th Grade Geometry: Transformations
- 6th-8th Grade Geometry: Triangle Theorems & Proofs
- 6th-8th Grade Geometry: Similar Polygons
- 6th-8th Grade Geometry: The Pythagorean Theorem
- 6th-8th Grade Math: Data & Graphs
- 6th-8th Grade Math: Probability
- 6th-8th Grade Math: Statistics
- 6th-8th Grade Math: Rates, Ratios & Proportions
- 6th-8th Grade Math: Money
- 6th-8th Grade Math: Consumer Math
- 6th-8th Grade Math: Number Sequences
- 6th-8th Grade Math: Sets
- 6th-8th Grade Algebra: Monomials & Polynomials