State whether the following statement is true or false:
There are an infinite number of lines which pass through two distinct points.

State whether the following statement is True or False. Justify your answer.
If the area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square,then the area of the triangle also equals the area of the square.

The number of interwoven isosceles triangles in Sriyantra (in the Atharva Veda) is:

The edges of a surface are ............

Write whether the following statement is True or False. Justify your answer.
The things which are double of the same thing are equal to one another.

Read the following axioms:
$(i)$ Things which are equal to the same thing are equal to one another.
$(ii)$ If equals are added to equals,the wholes are equal.
$(iii)$ Things which are double of the same thing are equal to one another.
Check whether the given system of axioms is consistent or inconsistent.