2.1b: Converse, Inverse, Contrapositives
EQ: What are equivalent statements?
You can use an if-then sentence to form additional sentences:
Converse:
Inverse:
Contrapositive:
Equivalent Statements:
Conditional/Contrapositive
Converse/Inverse
Examples: Write the converse, inverse, and contrapositive of each conditional statement. Decide if each
statement is true or false.
1. If today is Tuesday, then tomorrow is Wednesday.
a. Converse
b. Inverse
c. Contrapositive
2. If I study, then I will make good grades.
a. Converse
b. Inverse
c. Contrapositive
3. If m∠A=47°, then angle A is acute.
a. Converse
b. Inverse
c. Contrapositive
4. Linear pairs are supplementary. (Hint—write as an if-then sentence)
a. Conditional
b. Converse
c. Inverse
d. Contrapositive
5. School will be cancelled if it snows. (Hint—write as an if-then sentence)
a. Conditional
b. Converse
c. Inverse
d. Contrapositive
6. It will rain if it is cloudy.
a. Conditional
b. Converse
c. Inverse
d. Contrapositive