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Ch 3: Discovering Geometry Chapter 3: Using Tools of Geometry

About This Chapter

The Using Tools of Geometry chapter of this course helps students learn how to construct lines and polygons. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Using Tools of Geometry textbook chapter. DISCOVERING GEOMETRY is a registered trademark of Angela H. Snead. Study.com has no affiliation with and is not endorsed by Angela H. Snead, by Michael Serra, the author and copyright holder of Discovering Geometry: An Investigative Approach; or by Kendall Hunt Publishing, the textbook's publisher.

How it works:

  • Identify the lessons in the Discovering Geometry Using Tools of Geometry chapter with which you need help.
  • Find the corresponding video lessons within this online chapter.
  • Watch fun videos that cover the using tools of geometry topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn:

  • Geometric constructions
  • Midpoint theorem and line segment bisection
  • How to design perpendicular lines
  • How to construct an angle bisector
  • Ways to create a parallel line using a spot not on a line
  • Types of geometric construction
  • How to draw polygons
  • Concurrent lines in triangles
  • The construction of circumscribed and inscribed figures
  • How to build the median of a triangle

10 Lessons in Chapter 3: Discovering Geometry Chapter 3: Using Tools of Geometry
Test your knowledge with a 30-question chapter practice test
Geometric Constructions Using Lines and Angles

1. 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.

Line Segment Bisection & Midpoint Theorem: Geometric Construction

2. 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.

Constructing Perpendicular Lines in Geometry

3. 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.

Constructing an Angle Bisector in Geometry

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.

Constructing a Parallel Line Using a Point Not on the Given Line

5. Constructing a Parallel Line Using a Point Not on the Given Line

Watch this video lesson, and you will learn how to draw parallel lines with just a compass and a straightedge. Also, learn why you would want to be able to do this in real life.

Constructing Triangles: Types of Geometric Construction

6. 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.

Constructing Similar Polygons

7. Constructing Similar Polygons

This lesson will teach you how to construct similar polygons, which are very useful in many quantitative fields. You'll learn that all of this has something to do with, of all things, snowflakes!

Properties of Concurrent Lines in a Triangle

8. Properties of Concurrent Lines in a Triangle

Centroids, orthocenters, incenters, circumcenters, oh my! Don't worry though. In this lesson, we master the various terms for concurrent lines in triangles and match them to altitudes, angle bisectors, perpendicular bisectors and medians.

Inscribed and Circumscribed Figures: Definition & Construction

9. 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.

Constructing the Median of a Triangle

10. Constructing the Median of a Triangle

If you have one triangle and want to divide it, you can use a median line. Medians have special geometric properties that we'll learn about in this lesson.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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