Statement: If there are clouds in the sky, then it is going to rain. What is the contrapositive of this statement?

If it is not going to rain today, then there are no clouds in the sky.

If it is going to rain today, then there are clouds in the sky.

If there are not clouds in the sky today, then it is not going to rain.

If there are not clouds in the sky today, then it is going to rain.

Statement: If I study for a test, then I will pass. What is the inverse of this statement?

If I do not pass, then I did not study for the test.

If I passed a test, then I studied.

If I study for a test, then I will not pass.

If I do not study for a test, then I will not pass.

Rewrite the statement as a conditional statement. "All dolphins are mammals."

If an animal is a dolphin, then it is a mammal.

If an animal is a mammal, then it is a dolphin.

If an animal is not a mammal, then it is not a dolphin.

Logic Review

Authored by Harriet Gavin

Mathematics

9th - 12th Grade

CCSS covered

Used 74+ times

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20 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let p represent: Brent works this summer.
Let q represent: Brent takes a vacation.

What is the symbolic representation of this statement?
Therefore, Brent does not work this summer.

∴~p

∴~q

Tags

CCSS.HSS.CP.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

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

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

Tags

CCSS.8.G.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the converse of the following statement?
If it is Saturday, then the school is closed

If the school is closed, then it is Saturday.

If it is not Saturday, then the school is not closed.

If the school is not closed, then it is not Saturday.

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Assuming these statements are true.
If I get good grades in high school, I will go to college.
I got all good grades.

Which is a valid conclusion using the law of detachment?

I am not going to college.

I am going to college.

I am not getting good grades.

I am a good student.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The given statements are true.

Statement: If you exercise regularly, then you have a healthy body
Statement: If you have a healthy body, then you have more energy.

Using the law of syllogism, which of the following is a valid conclusion?

You have more energy

If you exercise regularly, then you have more energy

You have a healthy body

If you do not have a healthy body, then you do not exercise regularly

MULTIPLE CHOICE QUESTION

1 min • 1 pt

This symbol, ∧, means?

and

not

implies

Tags

CCSS.HSS.CP.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

This symbol, ∨, means?

and

not

implies

Tags

CCSS.HSS.CP.A.1

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Logic Review

Let p represent: Brent works this summer.
Let q represent: Brent takes a vacation.

What is the symbolic representation of this statement?
Therefore, Brent does not work this summer.

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

What is the converse of the following statement?
If it is Saturday, then the school is closed

Assuming these statements are true.
If I get good grades in high school, I will go to college.
I got all good grades.

Which is a valid conclusion using the law of detachment?

The given statements are true.

Statement: If you exercise regularly, then you have a healthy body
Statement: If you have a healthy body, then you have more energy.

Using the law of syllogism, which of the following is a valid conclusion?

This symbol, ∧, means?

This symbol, ∨, means?

Statement 1: If John does his homework, then he will pass the test.
Statement 2: If John passes the test, then he does his homework.
If Statement 1 is the conditional statement, then statement 2 is the -

How is statement B related to statement A?

Statement A: If the two angles are not vertical, then the angles are not congruent.
Statement B: If two angles are vertical, then the angles are congruent.

Statement: If there are clouds in the sky, then it is going to rain.

What is the contrapositive of this statement?

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Discover more resources for Mathematics

Logic Review

Let p represent: Brent works this summer.Let q represent: Brent takes a vacation.What is the symbolic representation of this statement?Therefore, Brent does not work this summer.

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

What is the converse of the following statement?If it is Saturday, then the school is closed

Assuming these statements are true.If I get good grades in high school, I will go to college.I got all good grades. Which is a valid conclusion using the law of detachment?

The given statements are true.Statement: If you exercise regularly, then you have a healthy bodyStatement: If you have a healthy body, then you have more energy.Using the law of syllogism, which of the following is a valid conclusion?

This symbol, ∧, means?

This symbol, ∨, means?

Statement 1: If John does his homework, then he will pass the test.Statement 2: If John passes the test, then he does his homework.If Statement 1 is the conditional statement, then statement 2 is the -

How is statement B related to statement A?Statement A: If the two angles are not vertical, then the angles are not congruent.Statement B: If two angles are vertical, then the angles are congruent.

Statement: If there are clouds in the sky, then it is going to rain.What is the contrapositive of this statement?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Let p represent: Brent works this summer.
Let q represent: Brent takes a vacation.

What is the symbolic representation of this statement?
Therefore, Brent does not work this summer.

What is the converse of the following statement?
If it is Saturday, then the school is closed

Assuming these statements are true.
If I get good grades in high school, I will go to college.
I got all good grades.

Which is a valid conclusion using the law of detachment?

The given statements are true.

Statement: If you exercise regularly, then you have a healthy body
Statement: If you have a healthy body, then you have more energy.

Using the law of syllogism, which of the following is a valid conclusion?

Statement 1: If John does his homework, then he will pass the test.
Statement 2: If John passes the test, then he does his homework.
If Statement 1 is the conditional statement, then statement 2 is the -

How is statement B related to statement A?

Statement A: If the two angles are not vertical, then the angles are not congruent.
Statement B: If two angles are vertical, then the angles are congruent.

Statement: If there are clouds in the sky, then it is going to rain.

What is the contrapositive of this statement?