Deductive Reasoning

________, also known as logical reasoning, is the process of reasoning logically from given statements or facts to a conclusion.

• Inductive Reasoning

• Deductive Reasoning

• Biconditional Statements

• Contrapositive statements

Inductive Reasoning means...

• Guessing without any information

• Testing and observing patterns to make conjectures

• Drawing conclusions from situations based on facts and definitions

• Sounding knowledgeable even when you are not

__________________________ uses specific observations and patterns of behavior to make generalizations.

• Deductive reasoning

• Inductive reasoning

__________________________ uses facts to draw conclusions.

• Deductive Reasoning

• Inductive Reasoning

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.

• Law of Detachment

• Law of Syllogism

• Law of Contrapositive

• None

If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?

• ∠A is complementary to ∠B
• ∠A is acute.
• ∠A is obtuse.
• ∠A is 40⁰

Tags

CCSS.HSG.CO.A.1

p→q
q→r
∴p→r
Which law is modeled?

• Law of Syllogism
• Law of Detachment
• Law of Contrapositive
• Law of Shannon

p→q
p
∴q
Which law is modeled?

• Law of Syllogism
• Law of Detachment
• Law of Contrapositive
• Law of Shannon

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

Draw a conclusion from the statement.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.

• Jack skipped school.
• It isn't Monday.
• It's Saturday.
• Invalid

Tags

CCSS.RI.11-12.2

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.9-10.1

CCSS.RL.11-12.1