What does p -> q symbolize?

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

the opposite of the original statement

the same as the original statement

Identify the inverse to this statement: If you live in Montreal, then you live in Canada.

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

If you live in Canada, you live in Montreal

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

Identify the converse to this statement: If it is dark outside, then it is night.

If it is night, then it is dark outside

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

If it is not night, then it is not dark outside.

Identify the contrapositive to the statement: If Grace is tired, then she sleeps.

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.

Identify the inverse of the statement: If an animal is a dog then it does not moo.

If an animal is not a dog then it does moo

If an animal can moo then it is not a dog

If an animal does not moo then it is a dog

An animal is a dog if and only if it can moo

Identify the converse to the following: If you eat donuts daily, then you're unhealthy.

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

Identify the contrapositive to the following: If food is in the oven, then it will be cooked.

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 converse to this true: If two lines are parallel, then they will not intersect.

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

Its false. Parallel lines intersect.

Is the inverse of this true: If two angles are supplementary, then their measures have a sum of 180 degrees.

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.

When can a biconditional statement be true?

When the original statement (conditional statement) and the converse are both true.

When the inverse and the converse are both true

When the original statement (conditional statement) & the contrapositive are both true.

What is the biconditional 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.

Which of the following is a biconditional statement?

You can vote if and only if you are 18 years old.

If you do not vote, then you are not at least 18 years old.

If you are 18 years old, then you can vote.

What is the biconditional statement of the following conditional statement? If I win, then you don't lose.

I win if and only if you don't lose.

Consider the related biconditional statement for the conditional statement “If Shelly lives in Texas, then she lives in the United States.” Which of the following statements is true about the related biconditional statement?

The biconditional is false because the converse of the conditional is false.

The biconditional is true because the conditional is true.

The biconditional is false because the conditional and its converse are false.

The biconditional is true because the conditional and its converse are true.

Conditional and Biconditional Statements

Authored by Jennifer Constance

Mathematics

8th - 10th Grade

CCSS covered

Used 57+ times

Conditional and Biconditional Statements

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30 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the hypothesis of this conditional statement:
If Jimmy goes on vacation, then he will go to Orlando.

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the conclusion to the statement
If you like fried chicken, then you like KFC.

You like fried chicken

You only like fried chicken from KFC

You like KFC

You hate KFC

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the hypothesis of this conditional:
If Sally goes to the park, then she will fall off the swing.

Sally goes to the park.

Sally will fall off the swing.

Parks don't have swings that Sally goes to.

If Sally falls off the swing, she goes to the park.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the conclusion to the following:
If Spencer wins his soccer game, then he will be happy.

Spencer is happy

Spencer is not happy

Spencer lost his game.

Spencer is not happy if he does not win his soccer game.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is the following statement true?
If I like animals, then I will get a dog.

Yes

You can get another animal. Its true!

False. you can get a cat.

I don't like animals

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is the given statement true:
If the chair is empty, then class is not in session.

True. Class can't happen if a chair isn't occupied.

False. Someone could be absent.

True. Nobody sits down so we don't do work.

True. There are no chairs here, so the hypothesis is true.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which is a counterexample for the following conditional:
If an electronic device has a screen then it is a television.

television

cell phone

computer mouse

keyboard

Tags

CCSS.HSS.CP.A.5

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Conditional and Biconditional Statements

Identify the hypothesis of this conditional statement:
If Jimmy goes on vacation, then he will go to Orlando.

Identify the conclusion to the statement
If you like fried chicken, then you like KFC.

Identify the hypothesis of this conditional:
If Sally goes to the park, then she will fall off the swing.

Identify the conclusion to the following:
If Spencer wins his soccer game, then he will be happy.

Is the following statement true?
If I like animals, then I will get a dog.

Is the given statement true:
If the chair is empty, then class is not in session.

Which is a counterexample for the following conditional:
If an electronic device has a screen then it is a television.

What does
~q -> ~p symbolize?

What does
p -> q symbolize?

What does
~p -> ~q symbolize?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Conditional and Biconditional Statements

Identify the hypothesis of this conditional statement:If Jimmy goes on vacation, then he will go to Orlando.

Identify the conclusion to the statementIf you like fried chicken, then you like KFC.

Identify the hypothesis of this conditional:If Sally goes to the park, then she will fall off the swing.

Identify the conclusion to the following:If Spencer wins his soccer game, then he will be happy.

Is the following statement true?If I like animals, then I will get a dog.

Is the given statement true:If the chair is empty, then class is not in session.

Which is a counterexample for the following conditional:If an electronic device has a screen then it is a television.

What does ~q -> ~p symbolize?

What doesp -> q symbolize?

What does ~p -> ~q symbolize?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Identify the hypothesis of this conditional statement:
If Jimmy goes on vacation, then he will go to Orlando.

Identify the conclusion to the statement
If you like fried chicken, then you like KFC.

Identify the hypothesis of this conditional:
If Sally goes to the park, then she will fall off the swing.

Identify the conclusion to the following:
If Spencer wins his soccer game, then he will be happy.

Is the following statement true?
If I like animals, then I will get a dog.

Is the given statement true:
If the chair is empty, then class is not in session.

Which is a counterexample for the following conditional:
If an electronic device has a screen then it is a television.

What does
~q -> ~p symbolize?

What does
p -> q symbolize?

What does
~p -> ~q symbolize?