Question

State true or false
A terminated line can be produced indefinitely on both sides.

Answer 1

Hint: Using the knowledge of lines and using a rough diagram of the question we will check the statement is true or false.
* A terminated line is that part of a line which has two fixed points i.e. terminated line has definite end points because of which we can measure the length of the terminated line.

Complete step by step answer:
Here we have a line $m$ which can be extended on both sides and two fixed points $A$ and $B$ lie on the line $m$.

Therefore, definite and fixed end points A and B help in formation of a terminated line $AB$.
We have EUCLID’S POSTULATE 2 which states that ‘A terminated line can be produced infinitely.’
So from Euclid’s postulate 2 we can say that the terminated line $AB$ with two definite and fixed end points $A,B$ can be extended to both sides i.e. it can be extended to left side of A indefinitely and it can be extended to right side of B indefinitely.
Therefore it can be extended on both sides indefinitely.

So, the statement ‘A terminated line can be produced to both sides indefinitely’ is TRUE.

Note:
Students many a times get confused when the word terminated comes in the statement because that means end points of that line segment or that terminated line and they think because they are end points line cannot be produced beyond those points but they should know that the exact statement of this question belongs to Euclid’s postulate 2 which is already proven.