Conditional Statements

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

• Hypothesis: a man is 7 feet tall

  Conclusion: he plays basketball

• Hypothesis: IF a man is 7 feet tall

  Conclusion: THEN he plays basketball

• Hypothesis: THEN he plays basketball

  Conclusion: IF a man is 7 feet tall

• Hypothesis: he plays basketball

  Conclusion: a man is 7 feet tall

Which of the following is the CONVERSE of the statement below?

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

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

• If an object is not a bird, then it cannot fly

• If an object cannot fly, then it is not a bird

• There is no converse of the statement

Which of the following is the CONVERSE of the statement below?

If you play football, then you wear

a uniform.

• If you wear a uniform, then you play football.

• If you do not play football, then you do not wear a uniform.

• If you do not wear a uniform, then you do not play football.

• There is no converse of the statement.

Which of the following is the INVERSE of the statement below?

If an object is a computer, then it

has a hard drive.

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

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

• If an object has a hard drive, then it is a computer.

• There is no inverse of the statement.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species walks on two feet, then

it is human.

• If a species is not human, then it does not walk on two feet.

• If a species is human, then it walks on two feet.

• If a species does not walk on two feet, then it is not human.

• There is no contrapositive of the statement.

Write the following statement in if-then form.
All students at Hermitage take an English class.

• If you take an English class, then you are a student at Hermitage.
• If you are a student at Hermitage, then you take an English. class

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species is a fish, then it lives in

water.

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

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

• If a species lives in water, then it is a fish.

• There is not contrapositive of the statement.

Which of the following is a valid conditional statement for the following phrase:

An acute angle has a measure less than 90°.

• 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.

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.

• Contrapositive

• Converse

• Biconditional

• Inverse

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°.

• Inverse

• Contrapositive

• Biconditional

• Converse