Deductive Reasoning and Conditional Statements

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

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

Tags

CCSS.HSS.CP.A.5

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

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

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

Tags

CCSS.HSG.CO.C.9

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.

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.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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

• conclusion

• hypnosis

• hypothesis

• conjunction

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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

• hypothesis

• conclusion

• conjecture

• hypoallergenic

Tags

CCSS.RI.11-12.2

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1