Regular and irregular example and sides number and all sides congruent and not all sides congruent

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.

Explore the concepts of regular and irregular polygons with examples and properties. Learn about polygons with equal sides and angles (regular polygons) versus those with unequal sides and angles (irregular polygons). Examples include triangles, squares, rectangles, and pentagons.

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