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Q.

If x = 2z and y = 2z then x = y. Then Euclid's ____ axiom illustrate this statement.


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Detailed Solution

Given that x=2z   and y=2z   , then x=y  .
Here we see that both x and y are equal to the same value i.e. 2z, which gives us x and y equal to each other.
Also, we know Euclid's first axiom states that:
Things which are equal to the same thing are also equal to one another.
So, Euclid's first axiom satisfies the example given in the question.
If x=2z   and y=2z   then x=y   .
Then Euclid's first axiom illustrates this statement.
Therefore, the correct answer is first.
 
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