Conditional Statements and Proofs Review

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

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.

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 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.

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

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 INVERSE of the statement below?

If an object is a battery, then it is

rechargeable.

• If an object is not a battery, then it is not

  rechargeable.

• If an object is rechargeable, then it is not a battery.

• If an object is not rechargeable, then it is not a battery.

• There is no inverse of the statement.

Tags

CCSS.L.1.1J

CCSS.L.2.1F

CCSS.L.4.1C

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

If an object is a battery, then it is

rechargeable.

• If an object is not a battery, then it is not

  rechargeable.

• If an object is rechargeable, then it is not a battery.

• If an object is not rechargeable, then it is not a battery.

• There is no inverse of the statement.

Tags

CCSS.L.1.1J

CCSS.L.2.1F

CCSS.L.4.1C

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.

Tags

CCSS.L.1.1J

CCSS.L.2.1F

CCSS.L.4.1C

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.1.1J

CCSS.L.2.1F

CCSS.L.4.1C