Consider the conditional statement 鈥淚f two lines are coplanar, then they do not intersect鈥 and this is a false statement.
Write the contrapositive, inverse and converse of the conditional statement as follows:
Conditional: If two lines are coplanar, then they do not intersect. false statement.
Converse: If two lines do not intersect, then they are coplanar. False statement.
Inverse: If two lines are not coplanar, then they intersect. False statement.
Contra positive: If two lines intersect, then they are not coplanar. False statement.
Therefore, if the conditional statement is false, then contrapositive, inverse and converse statements also false.