About This Chapter
Honors Geometry: Introduction to Geometric Figures - Chapter Summary and Learning Objectives
In this chapter, our professional instructors will help you review some of the different geometric figures, how to construct them and how to use them to make more complex figures. After these lessons, you may also take the lesson quizzes to determine what topics you understand and what topics you don't. Follow along with these lessons videos and complete these short assessments to improve your understanding of:
- Different types of lines, how to construct them and their uses
- Different types of angles, how to construct them and their uses
- Techniques for partitioning lines and angles
- How to construct triangles, squares and regular hexagons
|Line Segments & Rays: Definition & Measurement||Differentiate between line segments and rays.|
|Points, Lines & Angles in Geometry||Define points, lines and angles.|
|Methods & Tools for Making Geometric Constructions||Learn how to use various tools to make formal geometric constructions.|
|Practice Making Geometric Constructions with Tools||Practice using tools to make formal geometric constructions.|
|Geometric Constructions Using Lines and Angles||Copy line segments and angles with a straight edge and a compass.|
|Line Segment Bisection & Midpoint Theorem: Geometric Construction||Bisect a line segment by finding the line segment's midpoint.|
|Dividing Line Segments into Equal Parts: Geometric Construction||Divide lines segments into more than two equal parts.|
|Constructing Perpendicular Lines in Geometry||Use tools to draw perpendicular lines.|
|Types of Angles: Vertical, Corresponding, Alternative Interior & Others||Learn about the different types of angles and their properties.|
|Constructing an Angle Bisector in Geometry||Split an angle in half.|
|Constructing Equilateral Triangles, Squares and Regular Hexagons Inscribed in Circles||Review how to inscribe shapes in circles.|
|Vertical Angles & Complementary Angles: Definition & Examples||Use vertical angles and complementary angles to find missing measures of other angles.|
|Supplementary Angle: Definition & Theorem||Discover what supplementary angles are and how to use them.|
|What Are Adjacent Angles? Definition & Examples||Identify adjacent angles.|
|Angle pairs: Types & Concept||Review the five types of angle pairs and how to measure them.|
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. 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.
9. 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.
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.
12. Vertical Angles & Complementary Angles: Definition & Examples
Special angles make your life easier. Learn how you can use the properties of special angles to help you find the measurements of missing angles in this video lesson.
13. Supplementary Angle: Definition & Theorem
There are many important angle pairs in geometry. In this lesson, we'll learn about supplementary angles, including what they are, where they are used, and why you need to know about them.
14. What Are Adjacent Angles? - Definition & Examples
In this lesson, you will learn how to identify whether angles are adjacent. After looking at several examples, you will be able to test your knowledge with a quiz.
15. Angle Pairs: Types & Concept
There are five major types of angle pairs in geometry. In this lesson, you'll explore the different types of angles and learn the rules of measuring those angles. When you finish the lesson, test your knowledge with a short quiz.
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Other chapters within the Honors Geometry Textbook course
- Honors Geometry: Foundations of Geometry
- Honors Geometry: Fundamentals of Geometry Proofs
- Honors Geometry: Logic in Mathematics
- Honors Geometry: Properties of Triangles
- Honors Geometry: Similar & Congruent Triangle Proofs
- Honors Geometry: Right Triangle Proofs
- Honors Geometry: Relationships Within Triangles
- Honors Geometry: Parallel Lines & Polygons
- Honors Geometry: Parallel Line Proofs
- Honors Geometry: Coordinate Geometry
- Honors Geometry: Analytical Geometry
- Honors Geometry: Similar Polygons
- Honors Geometry: Properties of Polygons & Circles
- Honors Geometry: Polygons & Quadrilaterals
- Honors Geometry: Circular Arcs & Circles
- Honors Geometry: Conic Sections
- High School Geometry: Geometric Solids
- Honors Geometry: Introduction to Trigonometry
- Honors Geometry: Right Triangles & Trigonometry
- Honors Geometry: Area, Surface Area & Volume
- Honors Geometry: Perimeter & Circumference
- Honors Geometry: Transformations
- Honors Geometry: Matrices