Question

Euclid's which axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z ?

• A. Euclid's second axiom states that if equals be added to equals, the wholes are equal.
• B. Euclid's sixth axiom states that, the things which are double of the same things are equal to one another
• C. Euclid's fourth axiom states that, the things which coincide with one another are equal to one another.
• D. Euclid's third axiom states that if equals are subtracted from equals, the remainders are equal.

Answer 1

The correct option is A Euclid's second axiom states that if equals be added to equals, the wholes are equal.

Euclid's second axiom states that if equals be added to equals, the wholes are equal.
x + y = 15
Adding z to both sides, we get
x + y + z = 15 + z
Thus, Euclid's second axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z.