Geometry is the branch of mathematics that deals with shapes, sizes, and properties of spaces. Here are some fundamental concepts:
1. Basic Elements
- Point (📍): A location in space with no size or dimension.
- Line (📏): A straight path extending infinitely in both directions.
- Plane (🗺️): A flat, two-dimensional surface that extends infinitely.
- Solid (📦): A three-dimensional object with length, width, and height.
2. Key Principles
- Euclidean Geometry: Based on the axioms of Euclid, focusing on flat spaces.
- Non-Euclidean Geometry: Studies curved spaces (e.g., spherical or hyperbolic).
- Congruence: Shapes that have the same size and shape.
3. Applications
- Used in architecture, engineering, and computer graphics.
- Helps in understanding spatial relationships and measurements.
For deeper exploration, check our Geometry Shapes guide!