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It is known that if $x + y = 10$ then $x + y + z = 10 + z$ . Which Euclid's axiom illustrates this statement?

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First Axiom

Second Axiom

Third Axiom

Fourth Axiom

answer is B.

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Detailed Solution

It is given that

x + y = 10

then,

x + y + z = 10 + z

.
The Euclid's axiom used to support this assertion axiom 2 indicates that the wholes are equal if like amounts are added together.
Hence, we can say that if

x + y = 10

then

x + y + z = 10 + z

, by the definition of Euclid’s second axiom.
Therefore, the correct option is 2.

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