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"lines are pa...

Question

"lines are parallel if they do not intersect" prove this with a suitable diagram.

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Solution

The above given statement is an axiom and axiom is a statement which is accepted to be true without any proof. It can either be called postulate or axiom.

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Q. 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.

"Lines in the same plane are parallel to each other if they do not intersect"

This is stated in the form of:

'Lines are parallel if they do not intersect' - is stated in the form of:

Q. Two lines are said to be parallel in a plane if they do not intersect if extended till infinite in both the directions.

Write converse of the following statement.
If two lines are parallel, then they do not intersect in the same plane'.

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