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

Write whether the following statement is True or False. Justify your answer.
Two distinct intersecting lines cannot be parallel to the same line.

Write whether the following statement is True or False. Justify your answer.
In geometry,we take a point,a line,and a plane as undefined terms.

Read the following statement:
An equilateral triangle is a polygon made up of three line segments out of which two line segments are equal to the third one and all its angles are $60^{\circ}$ each.
Define the terms used in this definition which you feel necessary. Are there any undefined terms in this? Can you justify that all sides and all angles are equal in an equilateral triangle?

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

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