Geometry, reasoning and conditional statements

this set has terms to learn about reasoining conditional statements, conjunctures, and basic math properties.

inductive reasoning

reasoning based on patterns

conjuncture

conclusion reached using inductive reasoning

counter-example

an example that shows a conjecture is false

conditional

an if-then statement p-q

hypothesis

is part(p) following if

conclusion

part (q) following then

truth value

weather conditional statement is true or false

negations

opposite of a statement

Converse

exchange the hypothesis and the conclusion

inverse

negate both parts of the statement

contrapositive

negate hypo and con pf converse

Biconditional

if and only if

Law of Detachment

If a conditional is true and its hypothesis is true, then its conclusion is true.

Additional property

If a\=b, then a+c\=b+c

Reflexive Property

a\=a

symetric

if a\=b, then b\=a

transitive

If a\=b and b\=c, then a\=c

substitution

If a\=b, then a may be replaced by b

Distributive Property

a(b + c) \= ab + ac