Question

Explain an Euclid's geometry .
Explain Lines and angles .

Class 9 Mathematics ​

Answer 1

Euclidean Geometry-

● Euclidean Geometry is an axiomatic system. Here all the theorems are derived from the small number of simple axioms which are known as Euclidean geometry axioms.

● We know that the term "Geometry" basically deals with things like points, line, angles, squa re, tria ngle, and other different shapes, the Euclidean Geometry axioms is also known as the "plane geometry".

● Euclidean Geometry deals with the properties and the relationship between all the things. Euclidean geometry is different from Non- Euclidean. They differ in the nature of pa rallel lines.

● In Euclid geometry, for the given point and a given line, there is exactly a single line that passes through the given points in the same plane and does not intersect.

Lines and angles -

● Ancient mathematicians introduced the concept of lines to represent straight objects which had negligible width and depth.

● When two rays (part of a straight line) intersect each other in the same plane, they form an angle. The point of intersection is called a vertex.