Logic Vocab UNIT 1.5

The "then" part of a conditional statement

• Hypotheses

• Conclusion

• Conjecture

• Result

A statement with a hypothesis followed by a conclusion

• Inductive Statement

• Deductive Statement

• Conditional Statement

• Result statement

Converse

•  $\sim p\ \rightarrow\ \sim q$  

•  $\sim q\ \rightarrow\ \sim p$  

•  $p\ \rightarrow\ q$  

•  $q\ \rightarrow\ p$  

Inverse

•  $\sim p\ \rightarrow\ \sim q$  

•  $\sim q\ \rightarrow\ \sim p$  

•  $p\ \rightarrow\ q$  

•  $q\ \rightarrow\ p$  

Contrapositive

•  $\sim p\ \rightarrow\ \sim q$  

•  $\sim q\ \rightarrow\ \sim p$  

•  $p\ \rightarrow\ q$  

•  $q\ \rightarrow\ p$  

Making conclusions based on observations and patterns

• Inductive Reasoning

• Deductive Reasoning

• Logical Conclusions

• Conjecture

Using facts, definitions, accepted properties, and the laws of logic to form a logical true argument

• Inductive Reasoning

• Deductive Reasoning

• Logical Conclusions

• Conjecture

What are vertical angles?

• Angles that are adjacent to each other
• Angles that add up to 180°
• Angles that are opposite of each other when lines intersect
• Angles that add up to 90°

How many degrees is a right angle.

• 90
• 21
• 180
• 101

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

• Converse
• Inverse
• Contrapositive
• Negation