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
(B) Second Axiom
Solution:
Euclid’s second axiom illustrate this statement
Euclid’s second axiom: To produce (extend) a finite straight line continuously in a straight line: If equals are added to equals, then the wholes are equal (Addition property of equality). Here we can see that
x + y = 10
then we are adding an equal quantity, i.e., z to both.
x + y + z = 10 + z
Hence, option (B) is correct.