We need to write the given statement as an if-then statement then write the converse, inverse, contrapositive, and bi-conditional statements. Let's start with the if-then statement.

If-Then

If-then statements take a specific form.

If p, then q .

Here, $p$ is the hypothesis and $q$ is the conclusion. For this exercise, we are told that "Two lines intersect in a point." Therefore, a logical if-them statement would be as follows.

If t w o l i n e s i n t e r s e c t, then t h e i r i n t e r s e c t i o n i s a p o i n t .

Converse

When we write the converse, we swap the hypothesis and the conclusion.

If t w o l i n e s i n t e r s e c t a t a p o i n t, then t h e t w o l i n e s i n t e r s e c t .

Inverse

When we write the inverse, we negate the hypothesis and conclusion in the original conditional statement.

If t w o l i n e s d o n o t i n t e r s e c t, then t h e y d o n o t i n t e r s e c t a t a p o i n t .

Contrapositive

When we write the contrapositive, we negate the hypothesis and conclusion in the converse.

If t w o l i n e s d o n o t i n t e r s e c t a t a p o i n t, then t h e t w o l i n e s d o n o t i n t e r s e c t .

Bi-Conditional

Bi-conditional statements use "if and only if" to show that a conditional statement works both ways. Since two lines will always form a point if they intersect, we can write the following bi-conditional statement.

T w o l i n e s i n t e r s e c t, if and only if t h e i r i n t e r s e c t i o n i s a p o i n t .

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