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

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

Euclid was a native of $\ldots \ldots \ldots .$

Write whether the following statement is True or False. Justify your answer.
"The statements that are proved are called axioms."

State whether the following statement is True or False. Justify your answer.
Euclidean geometry is valid only for curved surfaces.

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