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

Let's break down the concepts of regular and irregular polygons, focusing on their sides, congruency, and examples:

### 1. **Regular Polygons:**
A regular polygon has all sides and angles congruent (equal in length and measure, respectively).

- **Sides Number:** The number of sides can vary; examples include triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), etc.
- **All Sides Congruent:** Yes, in a regular polygon, all sides are congruent.
- **Examples:**
  - **Equilateral Triangle:** A triangle with three equal sides.
  - **Square:** A quadrilateral with four equal sides.
  - **Regular Pentagon:** A five-sided polygon where all sides are equal.

### 2. **Irregular Polygons:**
An irregular polygon does not have all sides and angles congruent. The sides and angles can differ in length and measure.

- **Sides Number:** Just like regular polygons, irregular polygons can have any number of sides.
- **All Sides Congruent:** No, not all sides are congruent in an irregular polygon.
- **Examples:**
  - **Scalene Triangle:** A triangle with all sides of different lengths.
  - **Rectangle:** A quadrilateral with opposite sides equal but not all four sides equal.
  - **Irregular Pentagon:** A five-sided polygon where not all sides are equal.

### Summary Table:

| **Polygon Type**     | **Number of Sides** | **All Sides Congruent** | **Examples**                     |
|----------------------|---------------------|-------------------------|----------------------------------|
| **Regular Polygon**  | 3 or more           | Yes                     | Equilateral Triangle, Square     |
| **Irregular Polygon**| 3 or more           | No                      | Scalene Triangle, Rectangle      |

### Clarification:
- **Congruent Sides:** Sides that are exactly equal in length.
- **Congruent Angles:** Angles that have the same measure.

Would you like more details on any of these points or have any questions?

### 5 Related Questions:
1. What is the difference between a regular pentagon and an irregular pentagon?
2. How do you calculate the interior angles of a regular polygon?
3. Can an irregular polygon have congruent sides? Under what conditions?
4. What are some real-life examples of regular and irregular polygons?
5. How does the symmetry of a polygon relate to it being regular or irregular?

### Tip:
When identifying whether a polygon is regular or irregular, always check both the sides and angles for congruency.

Explore the concepts of regular and irregular polygons. Learn about their definitions, examples like equilateral triangles and rectangles, and understand the differences in congruence of sides. Suitable for Grades 7-9 students learning geometry.

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