State whether the following statement is true or false.

In the list of Euclid’s axioms, axiom 5 is considered as a ‘universal truth’.

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True

False

answer is A.

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Detailed Solution

Here, we have to find whether in the list of Euclid’s axioms, axiom 5 is considered as a ‘universal truth’ or not.
To explain axiom 5, we should know the meaning of ‘the part’ and ‘whole’ part.
A part is a portion or a cut out (or a piece) of any complete figure.
Whole means the complete figure which contains many parts in it.
Euclid’s axiom 5 states that, “The whole is greater than the part”.
To prove this, consider the figures.
Question Image

Looking at the above examples:
Question Image

This shows that a whole is always greater than ‘a part’.
Hence, in the list of Euclid’s Axioms, Axiom 5 is considered as a ‘universal truth’.
Therefore, the given statement is true.
Thus, option (1) is correct.

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