Conditional Statements

Front

What are the hypothesis and conclusion of the statement: "If a man is 7 feet tall, then he plays basketball"?

Back

Hypothesis: a man is 7 feet tall; Conclusion: he plays basketball

Front

What is the CONVERSE of the statement: "If an object is a ring, then it is made of gold"?

Back

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

Front

Converse of the statement: "If an object is a bird, then it can fly."

Back

If an object can fly, then it is a bird.

Front

What is the contrapositive of the statement: 'If a gem is a ruby, then it is red'?

Back

If a gem is not red, then it is not a ruby.

Front

What is the contrapositive of the statement: "If a species is a fish, then it lives in water"?

Back

If a species does not live in water, then it is not a fish.

Front

Which of the following is a valid conditional statement for the following phrase: An acute angle has a measure less than 90°. Options: If an angle is acute, then it has a measure less than 90°.; If an angle is not acute, then it does not have a measure less than 90°.; If an angle is acute, then it is acute.; If an angle does not measure less than 90°, then it is not acute.

Back

If an angle is acute, then it has a measure less than 90°.

Front

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following? If an angle does not have a measure less than 90°, then it is not acute.

Back

Contrapositive

Front

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following? If an angle has a measure less than 90°, then it is acute.

Back

Converse

Front

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following? If an angle is not acute, then it does not have a measure less than 90°.

Back

Inverse

Front

What is the INVERSE of the statement: "If an object is a computer, then it has a hard drive"?

Back

If an object is not a computer, then it does not have a hard drive.