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3.

Which statement is NOT true?

If two coplanar lines do not intersect, then the lines are parallel.

Two lines lie in one plane and do not intersect if and only if the two lines are parallel.

If two lines are parallel, then they lie in one plane and do not intersect.

Two lines lie in one plane if and only if the lines are parallel.

1 answer

The statement "Two lines lie in one plane if and only if the lines are parallel" is NOT true. Two lines can lie in the same plane and not be parallel, as in the case of intersecting lines.
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