Conditionals

Determine the hypothesis in the following statement:

If a person is at least 16 years old, then the person can drive a car.

• If a person is at least 16 years old

• a person is at least 16 years old

• then the person can drive a car

• the person can drive a car

Determine the conclusion in the following statement:

If a person is at least 16 years old, then the person can drive a car.

• If a person is at least 16 years old

• a person is at least 16 years old

• then the person can drive a car

• the person can drive a car

Rewrite the conditional statement in if-then form.

A person who is eighteen years old is eligible to vote.

• If a person is eighteen years old, then they are eligible to vote.

• If a person is a voter, then they are eighteen years old.

• If a person is eighteen years old, then they are a voter.

Rewrite the conditional statement in if-then form.

An obtuse angle measures more than 90° and less than 180°.

• If an angle is obtuse, then it measures less than 180°.

• If an angle is obtuse, then it measures more than 90°.

• If an angle is obtuse, then it measures more than 90° and less than 180°.

Write the converse, inverse, and contrapositive of each statement. (match)

If segments are congruent, then they have equal measures.

• inverse

• If segments are not congruent, then they do not have equal measures.

• converse

• If segments have equal measures, then they are congruent.

• contrapositive

• If segments do not have equal measures, then they are not congruent.

Write the converse, inverse, and contrapositive of each statement. (match)

If x is an odd number, then 3x is an odd number.

• converse

• If 3x is an odd number, then x is an odd number.

• inverse

• If 3x is not an odd number, then x is not an odd number.

• contrapositive

• If x is not an odd number, then 3x is not an odd number.

Decide whether the statement is true or false. If false, provide a counterexample.

If it is summer, then it is July.

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OFF

Decide whether the statement is true or false. If false, provide a counterexample.

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

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OFF

Decide whether the statement is true or false. If false, provide a counterexample.

If an angle is acute, then its measure cannot be 90°.

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OFF

Write the converse for the conditional statement.

If an object is a ring, then it is made of gold.

• If an object is not a ring, then it is not made of gold.

• If an object is made of gold, then the object is a ring.

• If the object is not a ring, then it is not made of gold.