Unit 2- Reasoning in Geometry Flashcards
Conjecture
The generalization you make when you use inductive reasoning (guess)
Inductive reasoning
The process of observing data, recognizing patterns, and making generalizations about those patterns
Deductive reasoning
The process of showing that certain statements follow logically from agreed upon assumptions and proven facs
Conjunction
(And)
When both A and B are true – “A and B” is written A^B
Disjunction
(Or)
When at least one statement is true – “A or B” is written A v B
Negation
(Not)
Gives everything that is not A “not A” is written ~A
Implication (conditional)
One thing implies something else, written as an “If, then” statement
Hypothesis
P
The “cause” in a conditional statement
After the “if”
Conclusion
Q
The result in a conditional statement
After the “then”
Converse
When the hypothesis and conclusion are switched in a conditional
Written as an “if, then” statement
Not always true, find a counter example to disprove
Direct argument
If P is true, then Q is true
P is true
Therefore Q is true
Indirect argument
If P is true, then Q is true
Q is not true
Therefore P is not true
Chain rule
If P is true, then Q is true
If Q is true, then R is true
Therefore if P is true, then R is true
Or rule
P is true or Q is true
P is not true
Therefore, Q is true
Biconditional
When a conditional and it’s converse are BOTH true
Written as P if and only if Q
Abbreviated P iff Q
