write the converse,inverse,and contraceptive of each conditional statement.

Question

1) If it is Saturday, then school is closed.

 

 

Converse: 

 

Inverse:

 

Contrapostive

 

2) If two angles are complementary. then they total 90 degrees.

 

Converse:

 

Inverse:

 

Contrapositive: 

 

 

3) If a line bisects a segment, then the segment is divided into two congruent parts.

 

Converse:

 

 

 Inverse:

 

 

Contrapositive 

 

 

4) If two angles form a linear pair, then they are supplementary.

 

Converse:

 

Inverse:

 

Contrapositive 

 

 

 

 

 

 

 

Answer 1

I will explain the first one so you can do the other three on your own. 

 

The rules: (p=hypothesis & q=conclusion)

Statement: If p, then q

Converse: If q, then p

Inverse: If not p, then not q

Contrapositive: If not q, then not p

 

When you fill in p & q, make the sentence grammatically correct (make it sound normal).

 

so...

1) If it is Saturday, then school is closed

Converse: If school is closed, then it is Saturday

Inverse: If it is not Saturday, then school is not closed

Contrapositive: If school is not closed, then it is not Saturday

 

Don't worry about the statements being true. This is just about form for now. 

Now you try the other three!!