Question

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

• A. First axiom
• B. Second axiom
• C. Third axiom
• D. Fourth axiom

Answer 1

The correct option is B Second axiom

Here $z$ has been added to two quantities that are equal.

So, by Euclid's second axiom, which states that, If equals are added to equals then wholes are equal,

$\Rightarrow x+y+z=10+z$

Hence, $x+y+z=10+z$ is true by the second axiom of Euclid.