In this chapter, we will go through a short history and origin of geometry, which basically gives an idea of how geometry came into existence and the people behind the invention of geometry, followed by a brief introduction on Euclid’s geometry. Next, points and lines are introduced followed by an explanation of the differences between points and lines, followed by axioms-postulates and Euclid’s five postulates. This section also explains these postulates, their geometrical proofs, theorem and its proof explaining “two distinct lines cannot have more than one point in common.” In the second part of this chapter, we will go through the concepts of lines and angles, and different types of angles used in geometry.
In addition to preparing for the JEE mains and advanced exams, Cuemath Founder Manan Khurma's study material is helpful for students who are appearing for CBSE, ICSE and other State board exams.
- The Origins of Geometry
- Euclid's Geometry
- Points and Lines
- Axioms and Postulates
- Euclid's Axioms and Postulates
- Geometrical Proofs
- Euclid's Fifth Postulate
Lines and Angles - Basic Concepts
Parallels and Transversals
- Transversals and Related Angles
- Corresponding Angles
- Interior Angles
- Lines Parallel to the Same Line