rewrite (convert statement into if and then statement)
draw
state
plan
demonstrate
types of proof
direct and indirect proof
direct proof
formal: two-column proof
informal: paragraph
-form of proof that consists of a sequence of statements that are either given or deduced from previous statements and whose last statement is the conclusion to be proven
indirect proof
proof by contradiction
formal - two-column proof
consists of numbered statements and reasons that show the logical order of an argument
informal - paragraph
uses sentences to prove a statement
indirect proof
form of proof where one assumes the opposite of the conclusion of the statement to be proven is assumed to be true until the assumption leads to a contradiction, which then proves that the given statement is true
