Math Chapter 2
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conjecture
unproven statement based on observations

inductive reasoning
when you find a pattern in specific cases and then write a conjecture for the general case

counterexample
specific case for which a conjecture is false

conditional statement
 logical statement that has 2 parts
 hypothesis
 conclusion

if then form
when conditional statement is proven

converse
 switch original
 exchange hypothesis and conclusion

inverse
negative original

contrapositive
converse negative

equivalent statement
when 2 statements are both true or both false

perpendicular
if two lines intersect to form a right angle

biconditional
statement that contains if and only if

deductive reasoning
using facts, definitions, and laws of logic

line perpendicular to a plane
the line intersects the plane in a point and is perpendicular to every line in the plane that intersects it at that point

proof
logical argument that shows a statement is true

twocolumn proof
numbered statements and corresponding reasons that show an argument in a logical order

theorem
statement that can be proven

complementary angles
adding to 90

supplementary angles
adding to one 180



transitive
chain rule
ex. a=b, b=c, so a=c