Question

Explain Euclid Postulates.

Answer 1

Euclid's Postulate

1. A straight line segment can be drawn joining any two points.
You can draw a straight line by joining any two points.

2.Any straight line segment can be extended indefinitely in a straight line.

If you have a straight line, you can make it longer (and still straight). This is called extending the line.

3.Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.

Circle is a plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre).

4.All Right Angles are congruent.

RHS is a criterion for congruence of two triangles.

5.If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two Right Angles, then the two lines inevitably must intersect each other on that side if extended far enough. This postulate is equivalent to what is known as the Parallel Postulate.