One dimension in each step in the sequence of solids $-$ surfaces $-$ lines $-$ points is........ going on.

John is of the same age as Mohan. Ram is also of the same age as Mohan. State the Euclid's axiom that illustrates the relative ages of John and Ram.

Write whether the following statement is True or False. Justify your answer.
If a quantity $B$ is a part of another quantity $A$,then $A$ can be written as the sum of $B$ and some third quantity $C$.

Solve the following question using an appropriate Euclid's axiom:
In the figure,we have $AB = BC$ and $BX = BY$. Show that $AX = CY$.

State whether the following statement is true or false:
Euclid was a well-known student of Thales.

In the figure,if $OX = \frac{1}{2} XY$,$PX = \frac{1}{2} XZ$ and $OX = PX$,show that $XY = XZ$.