Question

state Euclid the five postulates

Answer 1

Euclid's Postulates

1. A straight line segment can be drawn joining any two points.

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

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

4. All right angles are congruent.

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.

Answer 2

1 there is unique line that passes through the given two distinct points
2 A line segment can be extended on either side to from a straight line
3 we can describe a circle with any radius
4 all right Angles are equal to one another
5 if a straight line is falling on two straight lines makes the interior angle on the same side of it taken together is less than two right Angles then the two straight lines if produced infinitely meet on that side on which the sum of Angles is less than two right Angles