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1. Write all the postulates, Axioms and Theorems with pictorial representation or
geometrical representation.
Answers
Answer:
In Geometry, "Axiom" and "Postulate" are essentially interchangeable. In antiquity, they referred to propositions that were "obviously true" and only had to be stated, and not proven. In modern mathematics there is no longer an assumption that axioms are "obviously true". Axioms are merely 'background' assumptions we make. The best analogy I know is that axioms are the "rules of the game". In Euclid's Geometry, the main axioms/postulates are:
Given any two distinct points, there is a line that contains them.
Any line segment can be extended to an infinite line.
Given a point and a radius, there is a circle with center in that point and that radius.
All right angles are equal to one another.
If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. (The parallel postulate).
Step-by-step explanation:
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