Podcast
Questions and Answers
What is a regular polygon?
What is a regular polygon?
Which of the following best describes an irregular polygon?
Which of the following best describes an irregular polygon?
What type of polygon is a triangle classified as?
What type of polygon is a triangle classified as?
How many sides does a nonagon have?
How many sides does a nonagon have?
Signup and view all the answers
Which statement regarding polygons is correct?
Which statement regarding polygons is correct?
Signup and view all the answers
Which type of polygon has both congruent sides and congruent angles?
Which type of polygon has both congruent sides and congruent angles?
Signup and view all the answers
What distinguishes an irregular polygon from other types?
What distinguishes an irregular polygon from other types?
Signup and view all the answers
If a polygon has 12 sides, what is it called?
If a polygon has 12 sides, what is it called?
Signup and view all the answers
Which of the following describes the angles formed by two adjacent sides of a polygon?
Which of the following describes the angles formed by two adjacent sides of a polygon?
Signup and view all the answers
What is the significance of naming a polygon using its vertices?
What is the significance of naming a polygon using its vertices?
Signup and view all the answers
Study Notes
Definition of Polygon
- A polygon is a closed plane figure formed by line segments that meet only at their endpoints.
- The segments are called sides, and the meeting points are known as vertices.
Types of Polygons
- Equilateral Polygon: All sides are congruent in length.
- Equiangular Polygon: All angles are congruent in measure.
- Regular Polygon: Both equilateral and equiangular, meaning all sides and angles are equal.
- Irregular Polygon: Sides and angles are not equal.
Naming Polygons
- Polygons are named based on their vertices. For example, a triangle with vertices A, B, and C can be referred to as triangle ABC, triangle BCA, or triangle ACB.
Characteristics of Polygons
- Only plane figures with straight line segments are considered polygons; figures with curves, such as circles, are not included.
- The two adjacent sides of a polygon form an angle.
Classification by Number of Sides
- Triangle: 3 sides
- Square: 4 sides
- Pentagon: 5 sides
- Hexagon: 6 sides
- Heptagon: 7 sides
- Octagon: 8 sides
- Nonagon: 9 sides
- Decagon: 10 sides
- Undecagon: 11 sides
- Dodecagon: 12 sides
Definition of Polygon
- A polygon is a closed plane figure formed by line segments that meet only at their endpoints.
- The segments are called sides, and the meeting points are known as vertices.
Types of Polygons
- Equilateral Polygon: All sides are congruent in length.
- Equiangular Polygon: All angles are congruent in measure.
- Regular Polygon: Both equilateral and equiangular, meaning all sides and angles are equal.
- Irregular Polygon: Sides and angles are not equal.
Naming Polygons
- Polygons are named based on their vertices. For example, a triangle with vertices A, B, and C can be referred to as triangle ABC, triangle BCA, or triangle ACB.
Characteristics of Polygons
- Only plane figures with straight line segments are considered polygons; figures with curves, such as circles, are not included.
- The two adjacent sides of a polygon form an angle.
Classification by Number of Sides
- Triangle: 3 sides
- Square: 4 sides
- Pentagon: 5 sides
- Hexagon: 6 sides
- Heptagon: 7 sides
- Octagon: 8 sides
- Nonagon: 9 sides
- Decagon: 10 sides
- Undecagon: 11 sides
- Dodecagon: 12 sides
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz explores the different types of polygons, including equilateral, equiangular, regular, and irregular polygons. Test your knowledge on the definitions and characteristics of these geometric figures, as well as how to name polygons based on their vertices.
