Ch 1: Discovering Geometry Chapter 1: Introducing Geometry

About This Chapter

The Introducing Geometry chapter of this course helps students prepare to learn the basic geometry. The chapter covers topics such as properties of basic shapes, lines, and angles. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Introducing 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 your textbook chapter with which you need help.
  • Find the corresponding video lessons within this online chapter.
  • Watch fun videos that cover the 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:

  • Basic geometry concepts
  • Rays and line segments
  • Angles, lines and points
  • Logical equivalence
  • Definition and properties of polygons
  • Parts of regular polygons
  • Use of angles and sides to classify triangles
  • Properties of squares, rectangles and rhombuses
  • Properties of quadrilaterals, parallelograms and trapezoids
  • Properties of circles
  • Secants, tangents and chords
  • Geometric figures
  • Transverse, perpendicular and parallel lines
  • Steps used to solve visualizing geometry problems

14 Lessons in Chapter 1: Discovering Geometry Chapter 1: Introducing Geometry
Test your knowledge with a 30-question chapter practice test
Undefined Terms of Geometry: Concepts & Significance

1. Undefined Terms of Geometry: Concepts & Significance

What do points, lines, planes, and sets have in common? Watch this video lesson to find out what they are, what they look like, and why they are called undefined terms.

Line Segments & Rays: Definition & Measurement

2. 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.

Points, Lines & Angles in Geometry

3. 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.

Logic Laws: Converse, Inverse, Contrapositive & Counterexample

4. Logic Laws: Converse, Inverse, Contrapositive & Counterexample

Logical statements can be useful, but only if we are able to determine their validity. In this lesson, we'll look at the various forms of a logical statement and see how they relate to each other.

What Are Polygons? - Definition and Examples

5. What Are Polygons? - Definition and Examples

Watch this video lesson to see how the shapes that you grew up with are all related. Learn why the shapes of bricks, stars, and street blocks are considered polygons while the sun, moon, and rolling hills are not.

Regular Polygons: Definition & Parts

6. Regular Polygons: Definition & Parts

What makes a polygon a polygon? And what shapes are considered polygons? In this lesson, find out the answers to these questions and more as we learn all about polygons and their parts.

Classifying Triangles by Angles and Sides

7. Classifying Triangles by Angles and Sides

Not all triangles are the same. There are equilateral, isosceles and scalene triangles. Then there are right, acute and obtuse triangles. In this lesson, we'll learn how to classify triangles using their sides and angles.

Properties of Shapes: Rectangles, Squares and Rhombuses

8. Properties of Shapes: Rectangles, Squares and Rhombuses

What's the difference between a square and a rectangle? What about a rhombus and a square? In this lesson, we'll look at the properties of these shapes.

Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons

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.

Properties of Shapes: Circles

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.

Measurements of Angles Involving Tangents, Chords & Secants

11. Measurements of Angles Involving Tangents, Chords & Secants

When lines and circles meet, angles are formed. Fortunately, we can determine the measure of these angles, whether they're formed by tangents, secants or chords, just by knowing the measure of the created arcs.

Properties and Postulates of Geometric Figures

12. Properties and Postulates of Geometric Figures

In geometry, there are some basic postulates that are relied upon as the basis for other theorems. Watch this video to learn about the postulates that deal with points, lines, and planes.

Parallel, Perpendicular and Transverse Lines

13. Parallel, Perpendicular and Transverse Lines

What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.

How to Solve Visualizing Geometry Problems

14. How to Solve Visualizing Geometry Problems

A picture is worth a thousand words, but sometimes drawing that picture can be like doing origami with your eyes closed. Practice translating complex problems into simple, meaningful images 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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