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. Euclid's first axiom states that the things which are halves of the same things are equal to one another.
• B. Euclid's first axiom states that things which coincide with one another are equal to one another
• C. Euclid's first axiom states that the whole is greater than the part
• D. Euclid's first axiom states that the things which are equal to the same thing are equal to one another.

Answer 1

The correct option is D 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.

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