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Geometry Quiz 1B
Question | Answer |
---|---|
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 |
if m | TRUE FALSE |
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 |