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Questions and Answers
What is a regular polygon?
What is a regular polygon?
- A polygon that is both equiangular and equilateral (correct)
- A polygon with unequal sides and angles
- A polygon with all sides congruent but angles not equal
- A polygon with at least one side longer than others
Which of the following best describes an irregular polygon?
Which of the following best describes an irregular polygon?
- A polygon whose sides and angles are not equal (correct)
- A polygon with congruent angles but unequal sides
- A polygon with exactly three sides
- A polygon with all sides and angles equal
What type of polygon is a triangle classified as?
What type of polygon is a triangle classified as?
- Equiangular polygon
- Irregular polygon with three sides
- Closed figure with three sides (correct)
- Regular polygon
How many sides does a nonagon have?
How many sides does a nonagon have?
Which statement regarding polygons is correct?
Which statement regarding polygons is correct?
Which type of polygon has both congruent sides and congruent angles?
Which type of polygon has both congruent sides and congruent angles?
What distinguishes an irregular polygon from other types?
What distinguishes an irregular polygon from other types?
If a polygon has 12 sides, what is it called?
If a polygon has 12 sides, what is it called?
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?
What is the significance of naming a polygon using its vertices?
What is the significance of naming a polygon using its vertices?
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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
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