Understanding Regular and Irregular Polygons

Aug 22, 2024

Notes on Polygons by Teacher MJ

Introduction

  • Topic: Regular and Irregular Polygons
  • Focus on polygons with 5, 6, 8, and 10 sides.

Definition of Polygon

  • A polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane.
  • Examples of Figures:
    • Figure 1: Not a polygon (curved side)
    • Figure 2: Not a polygon (open figure)
    • Figure 3: Polygon (closed, line segments)

Types of Polygons

Regular Polygons

  • All sides equal and all angles are of equal measure.
  • Example: Regular Pentagon (5 sides)
    • All sides and angles are equal.
    • Constructed with protractor and ruler.

Irregular Polygons

  • Do not have equal sides and angles.
  • Example: Irregular Pentagon
    • Sides and angles are not equal.
  • Example: Irregular Hexagon
    • Six sides, not equal.

Classification by Number of Sides

5 Sides: Pentagon

  • Regular Pentagon:
    • 5 equal sides and angles.
  • Irregular Pentagon:
    • Sides and angles are not equal.

6 Sides: Hexagon

  • Regular Hexagon:
    • 6 equal sides and angles.
  • Irregular Hexagon:
    • Sides and angles are not equal.

8 Sides: Octagon

  • Regular Octagon:
    • 8 equal sides and angles.
  • Irregular Octagon:
    • Sides and angles are not equal.

10 Sides: Decagon

  • Regular Decagon:
    • 10 equal sides and angles.
  • Irregular Decagon:
    • Sides and angles are not equal.

Conclusion

  • Importance of understanding regular and irregular polygons.
  • Encouragement to like, share, and subscribe for more educational content.