Conditional / Biconditional / Reasoning

What is the hypothesis of the given Conditional Statement?

• Jimmy will go to Orlando
• Jimmy goes on vacation
• Jimmy will go to Orlando
• Who is Jimmy?

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the converse to this statement?

• If it isn't dark outside, then it is not night.
• If it is night, then it is dark outside
• If it is not night, then it is not dark outside.
• It is night.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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

If you are flying, then you are in a

jet.

• Hypothesis: you are flying

  Conclusion: you are in a

  jet

• Hypothesis: IF you are flying

  Conclusion: THEN you are in a

  jet

• Hypothesis: THEN you are in a

  jet

  Conclusion: IF you are flying

• Hypothesis: you are in a

  jet

  Conclusion: you are flying

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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 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

Conditional Statement: If an animal is a dog, then it has four legs.

What is the conclusion?

• an animal is a dog

• an animal is not a dog

• it has four legs

• it does not have four legs

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Conditional Statement: If a whole number ends in 8, then it is divisible by 2.

What is the converse of the conditional statement?

• If a whole number is divisible by 2, then it ends in 8.

• If a whole number does not end in 8, then it is not divisible by 2.

• If a whole number is not divisible by 2, then it does not end in 8.

• A whole number ends in 8 if and only if it is divisible by 2.