Conditional Statements

Which of the following are the correct hypothesis and conclusion to 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

Tags

CCSS.HSG.CO.B.7

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

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

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

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

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

• There is no converse of the statement.

Tags

CCSS.HSG.SRT.A.2

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

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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

If a gem is a ruby, then it is red.

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

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

• If a gem is red, then it is a ruby.

• There is no contrapositive statement.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.

Tags

CCSS.L.2.1F

CCSS.L.1.1J

CCSS.L.4.1C

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.

Tags

CCSS.4.G.A.1

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

• Converse

• Contrapositive

• Biconditional

• Inverse

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.7.G.B.5

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.

Tags

CCSS.L.2.1F

CCSS.L.1.1J

CCSS.L.4.1C