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Write whether the following statement is True or False. Justify your answer.
In geometry,we take a point,a line,and a plane as undefined terms.

Consider the following statement: "There exists a pair of straight lines that are everywhere equidistant from one another." Is this statement a direct consequence of Euclid's fifth postulate? Explain.

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.

Euclid was a native of $\ldots \ldots \ldots .$

Write whether the following statement is True or False. Justify your answer.
"The statements that are proved are called axioms."

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