3-3 Deductive Reasoning

Choose the valid conclusion: If there is lightening, then it is not safe to be out in the open. Mary sees lightening from her home.

• It is not safe for the lightening

• No conclusion can be made.

• It is not safe for Marty to be out in the open.

• There is lightening.

Tags

CCSS.RI.4.1

CCSS.RI.6.1

CCSS.RI.7.1

CCSS.RL.11-12.1

CCSS.RL.4.1

Choose the valid conclustion: If two lines do not intersect then they are coplanar and parallel, or skew. Lines AB and CD do not intersect.

• Lines AB and CD are parallel and not coplanar.

• Lines AB and CD are parallel and coplanar or they are skew.

• Lines AB and CD are skew.

• No Conclusion can be made.

Tags

CCSS.HSG.CO.A.1

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

• You are at least 25 years old
• You can rent a car
• You can go on a road trip
• Invalid

Tags

CCSS.RI.7.1

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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.
• Invalid
• You are a boring person.
• You are going to catch a fish.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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

• 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

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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

• look out for the snowplows while driving to school.
• the big test will not be given today.
• the roads will be hard to drive on.
• you should call the school to see if school is canceled.

Tags

CCSS.RI.1.9

CCSS.RI.4.8

CCSS.RI.6.1

CCSS.RL.6.1

CCSS.RL.7.1

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

• You live in Disney Land
• You are an old person.
• You live in Florida
• You live in Orlando

Tags

CCSS.RI.4.1

CCSS.RI.5.1

CCSS.RL.11-12.1

CCSS.RL.4.1

CCSS.RL.8.1

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

• Invalid
• Valid
• Sammy is a Great Dane
• Sammy is really a cat.

Tags

CCSS.RI.6.1

CCSS.RI.7.8

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

Determine whether the stated conclusion is valid.
Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments.
R is the midpoint of QS.
Conclusion: QR=RS

• Valid
• R is the midpoint
• Invalid
• A point is the midpoint of a segment.

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.RI.6.8

CCSS.RI.7.1

CCSS.RI.7.8

CCSS.RI.8.8

CCSS.RL.1.5