Question

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

(a) first
(b) second
(c) third
(d) four (2 marks)

Answer 1

Euclid's second axiom states that if equals be added to equals, the wholes are equal. (1 mark)
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. (1 mark)