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Q.

State whether the following statement is true or false:


Two line segments are parallel if they do not intersect.


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a

True

b

False 

answer is A.

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Detailed Solution

Here, we have to find when two lines are parallel.
Intersecting lines are formed when two or more lines in a plane cross each other.
Therefore, non-intersecting lines are those lines that do not cross each other.
Consider the line segments, AB and CD,
Question Image From the above figure, we can see that the lines AB and CD are not intersecting each other.
The corresponding lines will never intersect if we extend them infinitely.
Therefore, they are parallel.
Hence, the given statement is true.
Therefore, option (1) is correct.
 

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