Regular Polygons

From the study guide

Course Outline

  1. Polygon Types and Terminology
  2. Convexity and Concavity
  3. Interior Angle Sums
  4. Exterior Angle Sums
  5. Angles of Regular Polygons
  6. Symmetry of Regular Polygons
  7. Circles and Central Angles
  8. Perimeter and Area Formulas

1. Polygon Types and Terminology

Key Concepts & Definitions

  • Polygon: A simple closed plane figure formed by three or more line segments joined end to end, with no two successive segments collinear.

★ Must-know

  • The sides of a polygon are its forming line segments, vertices are the common endpoints of two sides, and interior angles are the angles formed inside the polygon.

Further detail

  • A polygon with n sides is commonly named an n-gon; the course lists triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon, and decagon for 3 through 10 sides.

2. Convexity and Concavity

Key Concepts & Definitions

  • Convex Polygon: Has every interior angle less than 180°, and its vertices point outward.
  • Concave Polygon: Has at least one interior angle greater than 180°, with vertices that can point inward and outward.

Essential Points

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Practice quiz preview

1. A polygon has every interior angle measuring less than 180° and all of its vertices point outward. What type of polygon is it?

2. What does it mean for a line to be a line of symmetry of a figure?

3. How many lines of symmetry does a regular octagon have?

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Flashcard preview

What defines a polygon in geometry?

A simple closed plane figure with three or more joined line segments.

What are the sides of a polygon?

The line segments that form the polygon.

What are vertices in a polygon?

The common endpoints of two sides.

What are interior angles of a polygon?

Angles formed inside the polygon.

How is a polygon with n sides commonly named?

It is called an n-gon.

What is the name of a polygon with three sides?

Triangle.

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Frequently asked questions

What does the Regular Polygons study guide cover?

It covers the core concepts of Regular Polygons, organized by topic with the key definitions, explanations and takeaways, so it's easier to learn and remember.

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How many questions are in the Regular Polygons quiz?

The practice quiz has 20 multiple-choice questions, each with an explanation. Use it to check what you know and find your gaps.

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How do I study Regular Polygons with flashcards?

There are 45 flashcards on Regular Polygons, with a question on the front and the answer on the back. Try to recall each answer before you flip, and let spaced repetition bring back the ones you miss.

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