What is the contrapositive?

If Grace does not sleep, then she is not tired.

If Grace is not tired, then she does not sleep.

If Grace sleeps, then she is tired.

Grace never sleeps anyways. So its all moot.

What is the contrapositive to this?

If the food is not cooked, then it is not in the oven.

If the food is not in the oven, then it is not cooked.

If the food is cooked, then its in the oven.

If food is not in the oven, then its cooked.

Is the inverse of this true?

Its true. If two angles are not supplementary, then they do not add up to 180 degrees.

Its false. If angles don't add up to 180, they can still be supplementary.

Its false. Supplementary angles add up to 90 degrees.

Its true. Supplementary angles can add up to less than 180 degrees.

Conditional Statements, Counterexamples, Logic & Proofs

Authored by Wendy Lou Duong

Mathematics

9th - 10th Grade

CCSS covered

Used 31+ times

Conditional Statements, Counterexamples, Logic & Proofs

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31 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.HSS.CP.A.3

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is this statement true?

Yes

You can get another animal. Its true!

False. you can get a cat.

I don't like animals

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RL.11-12.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the conclusion to the statement?

You like fried chicken

You only like fried chicken from KFC

You like KFC

You hate KFC

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse to this statement?

If you live in Canada, you live in Montreal

If you don't live in Montreal, then you don't live in Canada.

If you don't live in Canada, you don't live in Montreal.

Montreal is in Brazil.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the converse to this?

If you are unhealthy, then you eat donuts

If you're not unhealthy, then you don't eat donuts

If you don't eat donuts, you are not unhealthy

I like donuts.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the converse to this true?

Its false. Parallel lines intersect.

True -- Parallel lines will not intersect if they are parallel.

False.

What are parallel lines?

Tags

CCSS.6.G.A.3

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Conditional Statements, Counterexamples, Logic & Proofs

What is the hypothesis of the given Conditional Statement?

Is this statement true?

What is the conclusion to the statement?

What is the converse to this statement?

What is the inverse to this statement?

What is the converse to this?

Is the converse to this true?

What is the contrapositive?

What is the contrapositive to this?

When taking the converse we ___________ the hypothesis and conculsion

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