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Ch 14: Honors Geometry: Properties of Polygons & Circles

About This Chapter

In this chapter, delve into the geometric properties of circles and polygons. Take quizzes as you make your way through the chapter to apply what you've learned.

Honors Geometry: Properties of Polygons & Circles - Chapter Summary and Learning Objectives

Use the lessons in this chapter to learn about the properties and measurements of circles and various polygons. We strive to keep the learning experience enjoyable, so you'll find engaging videos included with each lesson. Use the videos' transcripts as a resource for taking notes. As you complete the lessons, take self-assessment quizzes to see how well you've retained the information. Take a cumulative chapter exam at the end to test your knowledge of the topics. If you need additional help, reach out to the instructor. In this chapter, you'll explore:

  • Properties of polygons including rectangles, squares, trapezoids, and more
  • Proof theorems for parallelograms
  • Measurements of angles and lengths involving tangents, chords and secants
  • The tangent of a circle

Video Objective
Geometric Proofs for Polygons Learn about proofs used in geometry.
Properties of Shapes: Rectangles, Squares and Rhombuses Discover properties of rectangles, squares and rhombuses
Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons Compare quadrilaterals, parallelograms, trapezoids and polygons.
Parallelograms: Definition, Properties, and Proof Theorems Figure out how to identify parallelograms.
Properties of Congruent and Similar Shapes Explore components of similar and congruent shapes.
Inscribed and Circumscribed Figures: Definition & Construction Examine inscribed and circumscribed figures.
Central and Inscribed Angles: Definitions and Examples Consider theorems for central and inscribed angles.
Measurements of Angles Involving Tangents, Chords & Secants Uncover ways to measure angles involving tangents, chords and secants.
Measurements of Lengths Involving Tangents, Chords and Secants Learn to measure lengths involving tangents, chords and secants.
Tangent of a Circle: Definition & Theorems Develop an understanding of the tangent of a circle.
10 Lessons in Chapter 14: Honors Geometry: Properties of Polygons & Circles
Test your knowledge with a 30-question chapter practice test
Geometric Proofs for Polygons

1. Geometric Proofs for Polygons

Watch this video lesson to learn why it is important for you to learn how to do formal proofs in geometry. Also learn how to set up a proof and how to successfully execute one.

Properties of Shapes: Rectangles, Squares and Rhombuses

2. 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

3. 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.

Parallelograms: Definition, Properties, and Proof Theorems

4. Parallelograms: Definition, Properties, and Proof Theorems

Watch this video lesson to learn how you can identify parallelograms. You will see the unique properties that belong to the parallelogram. You will see the special side and angle characteristics needed to prove a certain shape is a parallelogram.

Properties of Congruent and Similar Shapes

5. Properties of Congruent and Similar Shapes

In this lesson, we'll look at triangles, rectangles and other shapes that share properties. This includes both congruent and similar shapes. We'll also practice identifying the missing properties of these shapes.

Inscribed and Circumscribed Figures: Definition & Construction

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.

Central and Inscribed Angles: Definitions and Examples

7. 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.

Measurements of Angles Involving Tangents, Chords & Secants

8. 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.

Measurements of Lengths Involving Tangents, Chords and Secants

9. 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.

Tangent of a Circle: Definition & Theorems

10. 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.

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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