A polygon is a closed figure formed by connecting line segments. Polygons can be classified as either regular or irregular based on the properties of their sides and angles.

Regular Polygon:

• Definition: A polygon is regular if all its sides are of equal length and all its interior angles are equal.
• Example: An equilateral triangle.
  • Number of Sides: 3 sides.
  • All Sides Congruent: Yes, all three sides are congruent.

Irregular Polygon:

• Definition: A polygon is irregular if not all sides are of equal length or not all its interior angles are equal.
• Example: A scalene triangle.
  • Number of Sides: 3 sides.
  • All Sides Congruent: No, none of the sides are congruent.

Additional Examples:

1. Square (Regular Polygon):

   • Number of Sides: 4 sides.
   • All Sides Congruent: Yes, all four sides are congruent.

2. Rectangle (Irregular Polygon):

   • Number of Sides: 4 sides.
   • All Sides Congruent: No, opposite sides are congruent, but adjacent sides are not.

3. Regular Pentagon:

   • Number of Sides: 5 sides.
   • All Sides Congruent: Yes, all five sides are congruent.

4. Irregular Pentagon:

   • Number of Sides: 5 sides.
   • All Sides Congruent: No, the sides have different lengths.

Would you like more details or have any questions?

Here are five related questions for further exploration:

1. What is the formula to find the interior angle of a regular polygon?
2. How can you determine if a polygon is regular or irregular by its angles?
3. What are the properties of a regular hexagon?
4. How does the concept of congruence apply to the angles of polygons?
5. Can a quadrilateral be irregular if all angles are equal?

Tip: When determining whether a polygon is regular or irregular, always check both the sides and angles. Regular polygons have both congruent sides and angles.