Geometry is the branch of mathematics that deals with shapes, sizes, and properties of spaces. Here are some core concepts to explore:
Basic Concepts
- Points, Lines, and Planes: The foundation of geometric structures 📐
- Angles: Measured in degrees or radians, classified as acute, obtuse, or right 📏
- Polygons: Closed shapes with straight sides, like triangles 🔺 or quadrilaterals 🟠
Key Theorems
- Pythagorean Theorem (a² + b² = c²) for right-angled triangles 📐
- Thales' Theorem: If A and B are points on a circle with diameter AB, then ∠ACB is a right angle 🌀
- Triangle Congruence: SAS, ASA, SSS, and RHS criteria 🔍
Practical Applications
- Architecture and engineering use geometry for structural designs 🏗️
- Art and design rely on geometric principles for symmetry and patterns 🎨
- Navigation systems apply geometric calculations for distances and angles 🧭
For deeper exploration, check our Geometry Basics or Geometry Formulas guides! 📚