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Answers
Step-by-step explanation:
The three undefined terms are point, line and plane.
Five postulates :-
These are given by Euclid , the mathematician
1 .To draw a straight line from any point to any point.
2. To produce a finite straight line continuously in a straight line.
3. To describe a circle with any center and distance .we can draw a circle with some radius.
4. That 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 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.
Theorem:-
A statement that can be proved true.
A proven statement is a theorem .
It has Statement, diagram, Given , Required to prove, Construction and proof .
Axiom:-
A statement accepted as true as the basis for arguments.
A statement, also known as an axiom, which is taken to be true without proof.
Postulates:-
Postulates are the basic structure from which lemmas and theorems are derived.
Defined terms :-
Line segment,triangle , quadrilateral and etc
Corollary:
It is a part of a theorem .
a corollary is a theorem connected by a short proof to an existing theorem.
Lemma:-
It is a small step with logical in theorem it is a helping theorem
1. The difference between the terms postulates,axioms, Corollary,theorem ,lemma is slightly and they always confused us.
2.Geoemtery is constructed with Undefined terms .with the using the terms defined terms are formed and Postualtes,lemma,corollary,axioms and theorems are constructed.
Euclid was the first person to write the all definitions and other things in geomerty in order.So he is regarded as" The father of Geometry"