๐ฟ๐ฟโฅ๏ธโฅ๏ธ๐๐๐๐๐น๐น๐ฎ๐ณ๐ฎ๐ณWhat is point in geometry and its type. ๐ฎ๐ณ๐ฎ๐ณ๐ฟ๐ฟ๐๐๐งโ๐พ๐งโ๐พ
In **geometry**, a **point** is one of the most fundamental concepts. It represents a precise location in space and has no size, no width, no length, and no depth. A point is usually denoted by a dot (.) and named using capital letters (e.g., *Point A, Point B*).
### **Types of Points in Geometry**
Points can be classified based on their positions or roles in geometric figures:
1. **Collinear Points**
- Points that lie on the **same straight line**.
- Example: If points *A, B,* and *C* lie on line *l*, they are collinear.
2. **Non-Collinear Points**
- Points that **do not lie on the same straight line**.
- Example: Three points forming a triangle.
3. **Coplanar Points**
- Points that lie in the **same plane**.
- Example: Any three points on a sheet of paper.
4. **Non-Coplanar Points**
- Points that **do not lie in the same plane**.
- Example: Four points in 3D space not all on the same plane.
5. **Concurrent Points**
- Three or more lines meet at a **single point**.
- Example: The point of intersection of angle bisectors in a triangle (*Incenter*).
6. **Vertex Point**
- A point where two or more lines/edges meet (e.g., corners of a polygon).
- Example: The corners of a square.
7. **Midpoint**
- A point that divides a line segment into **two equal parts**.
- Example: The center of a line *AB*.
8. **Endpoint**
- A point at the **end of a line segment or ray**.
- Example: Points *A* and *B* in segment *AB*.
### **Special Points in Triangles**
- **Centroid** โ Intersection point of medians.
- **Circumcenter** โ Intersection point of perpendicular bisectors.
- **Orthocenter** โ Intersection point of altitudes.
- **Incenter** โ Intersection point of angle bisectors.
### **Conclusion**
A point is a zero-dimensional object that defines a location. Different types of points help in understanding geometric shapes, theorems, and constructions.
Would you like examples or diagrams for better understanding? ๐
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