3. Consider two ‘postulates’ given below: Chapter 5: Introduction to Euclid’s Geometry Maths Class 9 solutions are avalable at ourwebsite to help the students. 3. Consider two ‘postulates’ given below: is solved by our expert teachers. You can get ncert solutions and notes for class 9 chapter 5 absolutely free. NCERT Solutions for class 9 Maths Chapter 5: Introduction to Euclid’s Geometry will definitely help in improving your marks in CBSE Board examinations.
3. Consider two ‘postulates’ given below:
(i) Given any two distinct points A and B, there exists a third point C which is in between A and B.
(ii) There exist at least three points that are not on the same line.
Do these postulates contain any undefined terms? Are these postulates consistent?
Do they follow from Euclid’s postulates? Explain.
Solutions :-
There are several undefined terms in the given postulates.
The given postulates are consistent because they refer to two different situations.
In first postulate two points A and B are given points then there will point C lying in the line between them
Postulate (ii) states that for the given points A and B we can take point C not lying on the lines
These postulates do not follow from Euclid’s postulates. However they follow from the axiom, given two distinct points, there is a unique line that passes through them”.
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