Question

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 atleast 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..

Answer 1

Yes, these postulates contain undefined terms such as ‘Point and Line’. Also, these postulates are consistent because they deal with two different situations as

• (i) says that given two points A and B, there is a point C lying on the line in between them. Whereas
• (ii) says that, given points A and B, you can take point C not lying on the line through A and B.

No, 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.”

Answer 2

Answer:

If the 1 and 2 point is right now which is the above in this why think do you know thhat

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Step-by-step explanation:

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