Question

It is known that if $x+y=10$, 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

Explanation for correct answer:

Here, we have the equation $x+y=10$

Now, add an equal value $z$ to both sides,

$x+y+z=10+z$

As per Euclid's second axiom, when equals are added together, the resulting wholes are equal.

Therefore, the given statement illustrates Euclid's second axiom.

Hence, the correct option is (b).