Final answer:
The inverse of the statement 'If two lines do not intersect, then the two lines are parallel lines' is 'If two lines are not parallel, then the two lines intersect'.
Step-by-step explanation:
The inverse of the statement If two lines do not intersect, then the two lines are parallel lines is If two lines are not parallel, then the two lines intersect.
This is because an inverse statement reverses the hypothesis and the conclusion of the original statement.
It's important to understand that the inverse is not equivalent to the negation, which would simply deny the original statement.
The inverse modifies the original statement by switching the hypothesis and the conclusion.