Question

Euclid's which axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z ? (3 mark)

(a) first
(b) second
(c) third
(d) fourth

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 (1 mark)

Thus, Euclid's second axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z.
(1 mark)
Hence, the correct answer is option (b).