Geometry Chapter 2 Reasoning and Proof

Chapter  2 Reason

21 cards   |   Total Attempts: 182
  

Cards In This Set

Front Back
Conjecture
an educated guess based on known information
Inductive Reasoning
Reasoning that uses a number of specific examples to arrive at a plausable generlization or prediction
Counterexample
A false example
Compound statement
Two or more statements that are joined
Statement
Any sentence that is either true or false, but not both
Truth value
The truth or falsity of a statement
Conjunction
A compound ststement formed by joing two or more statements with the word and , only true when both staements are true p ^ q, read p and q p q p^q T T T T F F
F T F
F F F
Disjunction
A compound statement formed by joing two or more statements with the word or only false when both statements are false p V q, read p or q p q pVq T T T
T F T
F T T
F F F
Truth table
A convient method for organizing the truth values of statements
Conditional statements
A statement that can be written in if-then form
If-then Form
Written in the form of If p, then q
Hypthesis
The phrase immediatly following the word if If p , then q
Conclusion
The phrase immediatly following the word then If p, then q
Related conditions
Other statements based on a given conditional statement
Conditional
Given hypothesis and conclusion p --> q