Which of the following statements are true and which are false?
(i) Two lines are parallel if they do not meet, even when produced.
(ii) Two parallel lines are everywhere the same distance apart.
(iii) If two line segments do not intersect, they are parallel.
(iv) If two rays do not intersect, they are parallel.
The statement is true because such lines do not intersect even when produced.
Perpendicular distance between two parallel lines is same at all points on the lines.
If the corresponding lines are produced infinitely, they will not intersect. Hence, they are parallel.
The corresponding lines determined by them will not intersect. Hence, they are parallel to each other.
RS Aggrawal (2020, 2021)