Identify and classify polygons

Key notes:

Definition of Polygons:

• A polygon is a closed figure formed by a finite number of straight line segments connected end-to-end.
• The segments are called sides or edges, and the points where they meet are called vertices.

Types of Polygons:

• Triangles: 3 sides and vertices. Types include:
  • Equilateral (all sides equal)
  • Isosceles (two sides equal)
  • Scalene (no sides equal)
• Quadrilaterals: 4 sides and vertices. Types include:
  • Square (all sides equal and angles are 90°)
  • Rectangle (opposite sides equal and angles are 90°)
  • Rhombus (all sides equal, angles not necessarily 90°)
  • Parallelogram (opposite sides equal)
  • Trapezoid (one pair of parallel sides)
• Pentagons: 5 sides and vertices.
• Hexagons: 6 sides and vertices.
• Heptagons: 7 sides and vertices.
• Octagons: 8 sides and vertices.

Classification by Sides:

• Regular Polygons: All sides and angles are equal (e.g., equilateral triangle, square).
• Irregular Polygons: Sides and angles are not all equal (e.g., scalene triangle, a rectangle).