Does Euclid fifth postulate imply the existence of parallel lines? Explain.

Is the statement true or false? Give reasons.

Only one line can pass through a single point.

Is the statement true or false? Give reasons.

A terminated line can be produced indefinitely on both the sides.

Is the statement true or false? Give reasons.

In the following figure, if $\mathrm{A}\mathrm{B}=\mathrm{P}\mathrm{Q}$ and $\mathrm{P}\mathrm{Q}=\mathrm{X}\mathrm{Y},$ then $\mathrm{A}\mathrm{B}=\mathrm{X}\mathrm{Y}$.