Learn: Conditional Statements & Proof Logic

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

• Inductive

• Deductive

The process that includes looking patterns and making conjectures

• Conclusion

• Counter Example

• Inductive Reasoning

• Deductive Reasoning

All bears are mammals, all mammals have kidneys; therefore all bears have kidneys. 

• Deductive
• Inductive

All chickens that we have seen have been brown; so, all chickens are brown. 

• Deductive
• Inductive

The part of a conditional statement after "If"

• Conclusion

• Conjecture

• Negation

• Hypothesis

The part of a conditional statement after "then"

• Contrapositive

• Converse

• Conclusion

• Hypothesis

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.

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

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

The statement formed by SWITCHING the hypothesis and conclusion of a conditional statement

• Contrapositive

• Bi-conditional Statement

• Converse

• Inverse

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 not a quadrilateral, then it is not a trapezoid.

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

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

• A rectangle is also a quadrilateral.

the statement formed by NEGATING the hypothesis and conclusion of a conditional statement

• Equivalent Statement

• Inverse

• Converse

• Contrapositive