# A is of the same age as B and C is of the same age as B. Euclid's which axiom illustrates the relative ages of A and C?

**Question:**

A is of the same age as B and C is of the same age as B. Euclid's which axiom illustrates the relative ages of A and C?

(a) First axiom

(b) second axiom

(c) Third axiom

(d) Fourth axiom

**Solution:**

Euclid's first axiom states that the things which are equal to the same thing are equal to one another.

It is given that, the age of A is equal to the age of B and the age of C is equal to the age of B.

Using Euclid's first axiom, we conclude that the age of A is equal to the age of C.

Thus, Euclid's first axiom illustrates the relative ages of A and C.

Hence, the correct answer is option (a).