About This Chapter
How It Works:
- Identify the lessons in the Holt McDougal Properties of Circles chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the properties of circles 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:
- Circle properties
- Circle tangents
- How to measure an arc
- The properties of and ways to apply chords
- Definitions and examples of central and inscribed angles
- Ways to measure an inscribed angle
- What inscribed and circumscribed figures are
- About measuring angles and lengths of secants, tangents and chords
- How to graph circles
Holt McDougal is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.
1. 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.
2. Tangent of a Circle: Definition & Theorems
What happens when a line just barely touches a circle? It's a tangent! In this lesson, we'll learn all about tangents to circles, including a few key theorems. We'll also look at tangent circles.
3. Measure of an Arc: Process & Practice
What is the measure of an arc? And what is the difference between a minor arc and a major arc? Find out all that and practice finding the measure of an arc in this lesson.
4. Central and Inscribed Angles: Definitions and Examples
When we're working with circles, there are two key angles to know: central angles and inscribed angles. These angles have a few special theorems, which we'll discuss and practice using in this lesson.
5. How to Find the Measure of an Inscribed Angle
Finding the measure of an inscribed angle requires knowing a little information. In this lesson, we'll find the measure of an inscribed angle when we know the measure of the central angle or one or more of the arcs formed by the angle.
6. 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.
7. 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.
8. Measurements of Lengths Involving Tangents, Chords and Secants
The lengths of chords, tangents and secants take on unique relationships when they're drawn on circles. In this lesson, we'll define those relationships and see them in action.
9. Graphing Circles: Identifying the Formula, Center and Radius
Discover how to graph circles by finding key information like the center and radius. Identify circles by simply looking at the formula, and vice versa.
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Other chapters within the Holt McDougal Larson Geometry: Online Textbook Help course
- Chapter 1: Essentials of Geometry
- Chapter 2: Reasoning and Proof
- Chapter 3: Parallel and Perpendicular Lines
- Chapter 4: Congruent Triangles
- Chapter 5: Relationship Within Triangles
- Chapter 6: Similarities
- Chapter 7: Right Triangles and Trigonometry
- Chapter 8: Quadrilaterals
- Chapter 9: Properties of Transformations
- Chapter 11: Measurements of Figures and Solids
- Chapter 12: Probability