$A$ line is a length without $\ldots \ldots \ldots$

'Lines are parallel if they do not intersect' is stated in the form of

In the Indus Valley Civilisation (about $3000\, B.C.$),the bricks used for construction work had dimensions in the ratio:

Given two distinct points,there is a ......... line that passes through them.

In the given figure,$C$ is the midpoint of $AB$ and $D$ is the midpoint of $AC$. Prove that $AD = \frac{1}{4} AB$. Mention the Euclid's axioms used in it.

Consider the following statement: "There exists a pair of straight lines that are everywhere equidistant from one another." Is this statement a direct consequence of Euclid's fifth postulate? Explain.