Draw a conclusion from the statement. If you go fishing, then you will need to bring your fishing rod. You go fishing.

You will need to bring your fishing rod.

Use the law of syllogism to draw a conclusion from the two given statements: Statement 1: If you exercise regularly, then you have a healthy body Statement 2: If you have a healthy body, then you have more energy

If you exercise regularly, then you have more energy

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

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion? If it is snowing heavily, then school will be canceled. If school is canceled, the big test will not be given today. It is snowing heavily, therefore

the big test will not be given today.

look out for the snowplows while driving to school.

the roads will be hard to drive on.

you should call the school to see if school is canceled.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid." What is the contrapositive of this statement?

If a polygon is not a trapezoid, then it is not a quadrilateral.

If a polygon is a trapezoid, then it is a quadrilateral.

If a polygon is not a quadrilateral, then it is not a trapezoid.

A rectangle is also a quadrilateral.

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.

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

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

If the school is closed, then it is Saturday.

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

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

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

If the school is closed, then it is Saturday.

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

What is the conclusion to the statement?

You only like fried chicken from KFC

What is the hypothesis of this conditional?

Parks don't have swings that Sally goes to.

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

What is the inverse to this statement?

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.

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.

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse .

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

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

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

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

What is the converse statement of "If a number is divisible by 3, then it is divisible by 9."?

If a number is divisible by 9, then it is divisible by 3.

If a number is divisible by 3, then it is divisible by 9.

If a number is not divisible by 3, then it is not divisible by 9.

If a number is not divisible by 9, then it is divisible by 3.

Given the conditional; "If it is a duck then it has a beak." Which is the converse?

If it has a beak, then it is a duck.

If isn't not a duck, then it doesn't have a beak.

If it is a duck, then it quacks.

If it doesn't have a beak, then it's not a duck.

What is the biconditional that matches the statement: "A right angle is an angle with 90 degrees."

An angle is a right angle if and only if it has 90 degrees.

If an angle has 90 degrees, then it is a right angle.

If an angle is a right angle, then it has 90 degrees.

2.1-2.4 Practice

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

L.2.1F, RI.8.1, 2.NBT.A.2

+30

Standards-aligned

Reagan Crask

FREE Resource

40 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given: If I drive over the speed limit, then I will get a ticket.
Given: I drove over the speed limit.
Conclusion: I got a ticket.

Law of Detachment

Law of Syllogism

Invalid

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given: If Amanda goes to the restaurant, then she will order a hamburger.
Given: If she orders a hamburger, then she will get fries.
Conclusion: If Amanda goes to the restaurant, then she will get fries.

Law of Detachment

Law of Syllogism

Invalid

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given: If it snows, then I will wear my snow boots.
Given: If it snows, then I won’t go to school that day.
Conclusion: If I don’t go to school, then I will wear my snow boots.

Law of Detachment

Law of Syllogism

Invalid

Tags

CCSS.L.4.1C

CCSS.L.9-10.1B

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given: If Tina goes to the beach, she will wear sunscreen.
Given: Tina goes to the beach.
Conclusion: Tina will wear sunscreen.

Law of Detachment

Law of Syllogism

Invalid

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given: If you get a cold, then you eat chicken soup.
Given: You ate chicken soup.
Conclusion: You must have a cold.

Law of Detachment

Law of Syllogism

Invalid

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given: If two angles form a linear pair, then they are supplementary.
Given: If two angles are supplementary, then the sum of their measures is 180°.
Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.

Law of Detachment

Law of Syllogism

Invalid

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given: If Kaylee gets at least a 95 on her final exam, she will get an A in Geometry.
Given: Kaylee got a 98 on her final exam.
Conclusion: Kaylee got an A in Geometry.

Law of Detachment

Law of Syllogism

Invalid

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2.1-2.4 Practice

40 questions

Given: If I drive over the speed limit, then I will get a ticket.
Given: I drove over the speed limit.
Conclusion: I got a ticket.

Given: If Amanda goes to the restaurant, then she will order a hamburger.
Given: If she orders a hamburger, then she will get fries.
Conclusion: If Amanda goes to the restaurant, then she will get fries.

Given: If it snows, then I will wear my snow boots.
Given: If it snows, then I won’t go to school that day.
Conclusion: If I don’t go to school, then I will wear my snow boots.

Given: If Tina goes to the beach, she will wear sunscreen.
Given: Tina goes to the beach.
Conclusion: Tina will wear sunscreen.

Given: If you get a cold, then you eat chicken soup.
Given: You ate chicken soup.
Conclusion: You must have a cold.

Given: If two angles form a linear pair, then they are supplementary.
Given: If two angles are supplementary, then the sum of their measures is 180°.
Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.

Given: If Kaylee gets at least a 95 on her final exam, she will get an A in Geometry.
Given: Kaylee got a 98 on her final exam.
Conclusion: Kaylee got an A in Geometry.

Given: If it is raining, then you must bring an umbrella.
Given: You bring your umbrella.
Conclusion: It is raining.

Which law of logic is this?
If I clean the bathroom, then I don't have to do the dishes.
I cleaned the bathroom.
Therefore, I don't have to do the dishes.

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

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Discover more resources for Mathematics

2.1-2.4 Practice

40 questions

Given: If I drive over the speed limit, then I will get a ticket.Given: I drove over the speed limit.Conclusion: I got a ticket.

Given: If Amanda goes to the restaurant, then she will order a hamburger.Given: If she orders a hamburger, then she will get fries.Conclusion: If Amanda goes to the restaurant, then she will get fries.

Given: If it snows, then I will wear my snow boots.Given: If it snows, then I won’t go to school that day.Conclusion: If I don’t go to school, then I will wear my snow boots.

Given: If Tina goes to the beach, she will wear sunscreen.Given: Tina goes to the beach.Conclusion: Tina will wear sunscreen.

Given: If you get a cold, then you eat chicken soup.Given: You ate chicken soup.Conclusion: You must have a cold.

Given: If two angles form a linear pair, then they are supplementary.Given: If two angles are supplementary, then the sum of their measures is 180°.Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.

Given: If Kaylee gets at least a 95 on her final exam, she will get an A in Geometry.Given: Kaylee got a 98 on her final exam.Conclusion: Kaylee got an A in Geometry.

Given: If it is raining, then you must bring an umbrella.Given: You bring your umbrella.Conclusion: It is raining.

Which law of logic is this?If I clean the bathroom, then I don't have to do the dishes. I cleaned the bathroom. Therefore, I don't have to do the dishes.

Draw a conclusion from the statement.If you are at least 25 year old, then you can rent a car.You can rent a car

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Given: If I drive over the speed limit, then I will get a ticket.
Given: I drove over the speed limit.
Conclusion: I got a ticket.

Given: If Amanda goes to the restaurant, then she will order a hamburger.
Given: If she orders a hamburger, then she will get fries.
Conclusion: If Amanda goes to the restaurant, then she will get fries.

Given: If it snows, then I will wear my snow boots.
Given: If it snows, then I won’t go to school that day.
Conclusion: If I don’t go to school, then I will wear my snow boots.

Given: If Tina goes to the beach, she will wear sunscreen.
Given: Tina goes to the beach.
Conclusion: Tina will wear sunscreen.

Given: If you get a cold, then you eat chicken soup.
Given: You ate chicken soup.
Conclusion: You must have a cold.

Given: If two angles form a linear pair, then they are supplementary.
Given: If two angles are supplementary, then the sum of their measures is 180°.
Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.

Given: If Kaylee gets at least a 95 on her final exam, she will get an A in Geometry.
Given: Kaylee got a 98 on her final exam.
Conclusion: Kaylee got an A in Geometry.

Given: If it is raining, then you must bring an umbrella.
Given: You bring your umbrella.
Conclusion: It is raining.

Which law of logic is this?
If I clean the bathroom, then I don't have to do the dishes.
I cleaned the bathroom.
Therefore, I don't have to do the dishes.

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car