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Geometry Quiz 1B

is a statement that is accepted as true without proof. Postulate
formally proven Theorem
a conditional or "if-then" statement is a logical statement divided into two parts. p:hypothesis q:conclusion p-->q reads "if p then q" Logic
The ______ of a conditional statement is formed by interchanging the hypothesis and the conclusion. q-->p Converse
proving/giving an example when something is false. Counter example
A _______ statement is the combination of a conditional statement and its converse p<-->q reads "p if and only if q" Biconditional statement
________ of a hypothesis or conclusion is formed by denying the original hypothesis or conclusion. P:the weather is good P: the weather is not good Negation
The _______ is the negation of the conditional statement. -p--->-q ex. conditional statement if the weather is good, then i will go swimming. ___ if the weather is not good, then i will not go swimming Inverse
The _____ is the negation of the converse. took original, flipped it, made it negative -p--->-p ex. if i do not go swimming then the weather is not good. Contrapositive
p--->q Conditional Statement
q--->p converse (flip)
p<-->q biconditional (conditional&converse have to be true)
-p--->-q inverse (negative)
-q-->-p contrapositive (flip,negative)
if the __________ statement is true, the __________ is true. conditional,contrapositive
If the __________ is true, then the ________ is true. converse,inverse
Uses facts, definitions, and accepted properties in a logical order to write a logical arguement. Deductive reasoning
Two angles whoses sum is 90° complementary angles
two angles whose sum is 180° supplementary angles
Created by: AmandaaC