What is the if-then-form of the following statement? "It is time for dinner if it is 6 pm."

If it is 6pm, then it is time for dinner.

If it is time for dinner, then it is 6pm.

If you want to eat dinner, then you must eat at 6pm.

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

True. There is no counterexample.

Which of the following is the inverse to the statement: "If you diet and exercise, then you will lose weight."

If you don't diet and exercise, then you will not lose weight.

If you don't diet and exercise, then you will lose weight.

If you lose weight, then you dieted and exercised.

If you don't lose weight, then you diet and exercise.

What is the inverse? If Jason does not go out to dinner, then he will come to the volleyball game.

If Jason goes out to dinner, then he will not come to the volleyball game.

If Jason comes to the volleyball game, then he will not go out to dinner.

If Jason comes to the volleyball game, then he will go out to dinner.

If Jason does not go out to dinner, then he will not come to the volleyball game.

What is the bi-conditional statement of the following conditional statement? “If Shelly lives in Texas, then she lives in the United States.”

Shelly lives in Texas if and only if she lives in the United States.

If Shelly lives in Texas, then she lives in the United States.

If Shelly lives in the United States, then she lives in Texas.

If Shelly does not live in Texas, then she does not live in the United States.

According to the Venn Diagram, which of the following statements is true?

Some dogs have short hair and curly hair.

All dogs have short hair and curly hair.

No dogs have curly hair and short hair.

Inductive Reasoning means...

Testing and observing patterns to make conjectures

Which of the following statements is the converse of "You cannot skateboard if you do not have a sense of balance." ?

If you cannot skateboard, then you do not have a sense of balance.

If you do not have a sense of balance, then you cannot skateboard.

If you skateboard, then you have a sense of balance.

Which of the following statements is the inverse of "If it rains, then I do not go fishing." ?

If it does not rain, then I go fishing.

If I go fishing, then it does not rain.

If I do not go fishing, then it rains.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

If the measures of the angles are not equal, then the angles are not congruent.

If the measures of the angles are equal, then the angles are congruent.

If angles are not congruent, then the measures of the angles are not equal.

If the angles are not congruent, then the measure of the angles are equal.

Which of the following statements is the converse of "If the moon is full, then the vampires are prowling." ?

If the vampires are prowling, then the moon is full.

If the moon is not full, then the vampires are prowling.

If the vampires are not prowling, then the moon is not full.

logic - converse, inverse & contrapositive

Authored by Catherine Davis

Mathematics

10th Grade

CCSS covered

Used 86+ times

logic - converse, inverse & contrapositive

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

When taking the converse of a statement we_____ the hypothesis and the conclusion.

negate

highlight

switch

switch and negate

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When taking the inverse of a statement, we_______ the hypothesis and the conclusion.

negate

switch

switch and negate

keep

Conditional: If it does not rain, then we will have practice.
What is "If it rains today, then we will have not practice", called

Inverse

Converse

Contrapositive

Counterexample

Given: If I have a Siberian Husky, then I have a dog
Identify the contrapositive

If I do not have a Siberian Husky, then I do not have a dog

If I do not have a dog, then I do not have a Siberian Husky.

If I have a dog, then I have a Siberian Husky

If I have a dog, then I don't have a Siberian Husky

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If two angles are supplementary, then they have a sum of 180. Is the inverse true?

Yes, if two angles are not supplementary, then they do not add to 180

no, if angles don't add to 180, they can still be supplementary

no, Supplementary angles add to 90

yes, supplementary angles add to less than 180

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When taking the converse we ___________ the hypothesis and conclusion.

negate

switch

leave the same

switch and negate

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What does this mean?

Conditional

Inverse

Converse

Contrapositive

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logic - converse, inverse & contrapositive

When taking the converse of a statement we_____ the hypothesis and the conclusion.

When taking the inverse of a statement, we_______ the hypothesis and the conclusion.

Conditional: If it does not rain, then we will have practice.What is "If it rains today, then we will have not practice", called

Given: If I have a Siberian Husky, then I have a dogIdentify the contrapositive

If two angles are supplementary, then they have a sum of 180. Is the inverse true?

When taking the converse we ___________ the hypothesis and conclusion.

What does this mean?

What is the if-then-form of the following statement? "It is time for dinner if it is 6 pm."

Conditional: If you are a duck, then you drive a red car.What is this statement called:If you do not drive a red car, then you are not a duck.

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

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Conditional: If it does not rain, then we will have practice.
What is "If it rains today, then we will have not practice", called

Given: If I have a Siberian Husky, then I have a dog
Identify the contrapositive

Conditional: If you are a duck, then you drive a red car.
What is this statement called:If you do not drive a red car, then you are not a duck.