Consider the statement: If Ed lives South of Canada, then he lives in Texas. Which of the following is a COUNTEREXAMPLE to this false statement?

If Ed lives South of Canada, then he lives in Minnesota.

If Ed lives North of Canada, then he lives in Texas.

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

Determine whether the stated conclusion is valid. Given : If the sum of the measures of two angles is 180, then the angles are supplementary. ∠A and ∠B are supplementary. Conclusion: The sum of the measure of two angles is 180

The sum of the measures of two angles is 180

∠A and ∠B are supplementary.

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 \therefore\sim p ∴ ∼ p

∴ ∼ q \therefore\sim q ∴ ∼ q

Underline the hypothesis and italicize the conclusion in each statement.

If your dog eats Purina , then he’ll stay happy and healthy .

If your dog eats Purina, then he’ll stay happy and healthy.

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

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

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

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

A rectangle is also a quadrilateral.

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

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

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

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

A rectangle is also a quadrilateral.

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.

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

A rectangle is also 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.

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

Using the Law of Detachment, draw a conclusion based on the statements given: If a plane flies to China, then it will be a long flight. Sarah bought a ticket to China.

Sarah will get stuck in the security line.

Sarah will need to bring a neck pillow and headphones.

Sarah will get stuck with a middle seat on the plane.

Using the Law of Syllogism, write a new conditional statement that follows from the pair of true statements. If you study, then you will pass the test. If you pass the test, then you will pass the class.

If you study, then you will pass the class.

If you pass the test, then you should study.

If you pass the class, then you will pass the test.

If you study, then you will pass the test.

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

If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Statement 1: If x = 2, then 2x – 10 = –6. Statement 2: x = 2

If 2x – 10 = –6, then x = 2

Logic Test

Quiz

•

Mathematics

•

8th - 9th Grade

•

Practice Problem

•

Easy

•

CCSS

HSS.CP.A.1, HSG.CO.A.1, RI.8.1

+10

Standards-aligned

Nicole Bush

Used 14+ times

FREE Resource

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the contrapositive of the following statement:
"If Jack plays baseball, then Jack participates in sports."

If Jack participates in sports, then Jack plays baseball.

If Jack does not play baseball, then Jack does not participate in sports.

If Jack does not participate in sports, then Jack does not play baseball.

If Jack does not play baseball, then Jack participates in sports.

Which of the following is a counterexample to the following statement:
"If the product of two numbers is 24, then both of the numbers are even."

(3)(8)

(2)(12)

(4)(6)

(6)(3)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

"If a number is a multiple of 10, then the number is even." The statement above is true. However, its converse is not always true. Which number could be used as a counter-example to show that the converse of the statement above is sometimes false?

50

90

102

105

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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 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.

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What does this mean?

Conditional Statement

Inverse Statement

Converse Statement

Contrapositive Statement

What does this mean?

Conditional Statement

Converse

Inverse

Contrapositive

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Logic Test

30 questions

Find the contrapositive of the following statement:
"If Jack plays baseball, then Jack participates in sports."

Which of the following is a counterexample to the following statement:
"If the product of two numbers is 24, then both of the numbers are even."

"If a number is a multiple of 10, then the number is even." The statement above is true. However, its converse is not always true. Which number could be used as a counter-example to show that the converse of the statement above is sometimes false?

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

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

What does this mean?

What does this mean?

This symbol, ∨, means?

This symbol, ∧, means?

This symbol, ↔, means?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Logic Test

30 questions

Find the contrapositive of the following statement:"If Jack plays baseball, then Jack participates in sports."

Which of the following is a counterexample to the following statement:"If the product of two numbers is 24, then both of the numbers are even."

"If a number is a multiple of 10, then the number is even." The statement above is true. However, its converse is not always true. Which number could be used as a counter-example to show that the converse of the statement above is sometimes false?

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

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

What does this mean?

What does this mean?

This symbol, ∨, means?

This symbol, ∧, means?

This symbol, ↔, means?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find the contrapositive of the following statement:
"If Jack plays baseball, then Jack participates in sports."

Which of the following is a counterexample to the following statement:
"If the product of two numbers is 24, then both of the numbers are even."