Which is the inverse of the given statement: "If you are human, then you are mortal."

If you are not human, then you are not mortal.

If you are mortal, then you are human.

You are human if and only if you are mortal.

If you are not mortal, then you are not human.

Which of the following is the contrapositive of the given statement: "If you are human, then you are mortal."

If you are not mortal, then you are not human.

If you are not human, then you are not mortal.

If you are mortal, then you are human.

You are human if and only if you are mortal.

Negate the following statement: "I love geometry."

If I love geometry, then I do not love geometry.

Which of the following phrases can be found in a biconditional statement?

ting tang walla walla bing bang

Make a conclusion. 1. If a number is divisible by 10, then it is divisible by 2. 2. If a number is divisible by 2, then it is even.

If a number is divisible by 10, then it is even,

If a number is even, then it is divisible by 10.

If a number is divisible by 2, then it is even.

If a number is even, then it is divisible by 2.

What can be concluded from the following statements? If Tom goes fishing then he brings a pole. If Tom brings his pole then he catches a fish .

If Tom goes fishing then he catches a fish.

If Tom brings his pole then he goes fishing

If Tom catches a fish then he brought his pole.

If Tom brings his pole then he catches a fish.

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

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

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

Q. 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.

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

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 do not have a dog.

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

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

Deductive Reasoning and Conditional Statements

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

L.2.1F, RL.11-12.1, HSS.CP.A.5

+15

Standards-aligned

Leslie Curfew

Used 3+ times

FREE Resource

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Use the Law of Detachment to determine what you can conclude from the given information, if possible.

If you passed the final, then you pass the class. You passed the final.

You passed the class.

You didn't pass the class

Not possible

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Use the Law of Detachment to determine what you can conclude from the given information, if possible.

If your parents let you borrow the car, then you will go to the movies with your friend. You will go to the movies with your friend.

Your parents let you borrow the car.

Your parents didn't let you borrow the car.

Not possible

Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible.

If a figure is a rhombus, then the figure is a parallelogram. If a figure is a parallelogram, then the figure is a quadrilateral.

If a figure is a rhombus, then the figure is a quadrilateral.

If a figure is a quadrilateral, then the figure is a rhombus.

Not possible

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which law of logic is illustrated by these statements?

If you miss practice the day before a game, then you will not be a starting player in the game.
You miss practice on Tuesday. You will not start the game Wednesday.

Law of Detachment

Law of Syllogism

Speed Limit

None of the above

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which law of logic is illustrated by the following statements?

If <1 and <2 are vertical angles, then <1 is congruent to <2. If <1 is congruent to <2, then m<1 = m<2.
If <1 and <2 are vertical angles, then m<1 = m<2.

Law of Detachment

Law of Syllogism

5th Amendment

Not possible

Which of the following is a conditional statement?

All even numbers are divisible by 2.

If an even number is divisible by 2.

Then even numbers are divisible by 2.

If an integer is an even number, then it is divisible by 2.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you write the converse of a conditional statement?

Negate the hypothesis and conclusion

Reverse the hypothesis and conclusion

Negate and reverse the hypothesis and conclusion

Take it to Journeys and buy the converses.

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Deductive Reasoning and Conditional Statements

25 questions

Use the Law of Detachment to determine what you can conclude from the given information, if possible.

If you passed the final, then you pass the class. You passed the final.

Use the Law of Detachment to determine what you can conclude from the given information, if possible.

If your parents let you borrow the car, then you will go to the movies with your friend. You will go to the movies with your friend.

Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible.

If a figure is a rhombus, then the figure is a parallelogram. If a figure is a parallelogram, then the figure is a quadrilateral.

Which law of logic is illustrated by these statements?

If you miss practice the day before a game, then you will not be a starting player in the game.
You miss practice on Tuesday. You will not start the game Wednesday.

Which law of logic is illustrated by the following statements?

If <1 and <2 are vertical angles, then <1 is congruent to <2. If <1 is congruent to <2, then m<1 = m<2.
If <1 and <2 are vertical angles, then m<1 = m<2.

Which of the following is a conditional statement?

How do you write the converse of a conditional statement?

Which is the inverse of the given statement:
"If you are human, then you are mortal."

What do you call the first part of a conditional statement that follows the word "if"?

What do you call the second part of a conditional statement that follows the word "then"?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Deductive Reasoning and Conditional Statements

25 questions

Use the Law of Detachment to determine what you can conclude from the given information, if possible.If you passed the final, then you pass the class. You passed the final.

Use the Law of Detachment to determine what you can conclude from the given information, if possible.If your parents let you borrow the car, then you will go to the movies with your friend. You will go to the movies with your friend.

Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible.If a figure is a rhombus, then the figure is a parallelogram. If a figure is a parallelogram, then the figure is a quadrilateral.

Which law of logic is illustrated by these statements?If you miss practice the day before a game, then you will not be a starting player in the game.You miss practice on Tuesday. You will not start the game Wednesday.

Which law of logic is illustrated by the following statements?If <1 and <2 are vertical angles, then <1 is congruent to <2. If <1 is congruent to <2, then m<1 = m<2.If <1 and <2 are vertical angles, then m<1 = m<2.

Which of the following is a conditional statement?

How do you write the converse of a conditional statement?

Which is the inverse of the given statement:"If you are human, then you are mortal."

What do you call the first part of a conditional statement that follows the word "if"?

What do you call the second part of a conditional statement that follows the word "then"?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Use the Law of Detachment to determine what you can conclude from the given information, if possible.

If you passed the final, then you pass the class. You passed the final.

Use the Law of Detachment to determine what you can conclude from the given information, if possible.

If your parents let you borrow the car, then you will go to the movies with your friend. You will go to the movies with your friend.

Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible.

If a figure is a rhombus, then the figure is a parallelogram. If a figure is a parallelogram, then the figure is a quadrilateral.

Which law of logic is illustrated by these statements?

If you miss practice the day before a game, then you will not be a starting player in the game.
You miss practice on Tuesday. You will not start the game Wednesday.

Which law of logic is illustrated by the following statements?

If <1 and <2 are vertical angles, then <1 is congruent to <2. If <1 is congruent to <2, then m<1 = m<2.
If <1 and <2 are vertical angles, then m<1 = m<2.

Which is the inverse of the given statement:
"If you are human, then you are mortal."