Axioms are assumed

Solve the following question using an appropriate Euclid's axiom:
In the figure,we have $AC = DC$ and $CB = CE$. Show that $AB = DE$.

State whether the following statement is True or False. Justify your answer.
"For every line $l$ and for every point $P$ not lying on a given line $l$,there exists a unique line $m$ passing through $P$ and parallel to $l$." This is known as Playfair's axiom.

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

State whether the following statement is true or false:
Things which are double of the same thing are equal to one another.

State whether the following statement is True or False. Justify your answer.
The edges of a surface are curves.