1. A straight line may be drawn from any point to any other point.

2. A terminated line (line segment) can be produced indefinitely.

3. A circle may be described with any centre and any radius.

4. All right angles are equal to one another.

5. If a straight line falling on two straight lines makes the interior angles on the same side of it, taken

together less than two right angles, then the the two straight lines if produced indefinitely, meet on

that side on which the sum of angles is taken together less than two right angles.

Euclid used the term postulate for the assumptions that were specific to geometry and otherwise

called axioms. A theorem is a mathematical statement whose truth has been logically established.

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**CBSE Class IX Introduction to Euclid's**

**geometry**