Logic Graded Classwork

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 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.

When writing a biconditional statement, we use the phrase ___ between the hypothesis and conclusion.

• if

• then

• if and only if

• always

What is the biconditional that matches the statement: "A right angle is an angle with 90 degrees."

• If an angle has 90 degrees, then it is a right angle.
• If an angle is a right angle, then it has 90 degrees.
• An angle is a right angle if and only if it has 90 degrees.

A conditional is false only when the hypothesis is…

• True and the conclusion is false

• False and the conclusion is false

• True and the conclusion is true

• False and the consequent is true

What is the condition for the Disjunction to be True?

• At least one statement must be True

• All the statements must be True

• All the statements could be True

• At least one statement could be True

If just one statement in a conjunction is false, the whole conjunction is still true.

• true
• false