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conditional statement

a logical statement containing two parts: hypothesis and conclusion.

hypothesis

an educated guess

Negation of a statement

P is "not P" written as ̴ p

converse statement

if q, then p

Inverse statement

if ~p, then ~q

Contra-positive statement

̴ Q --> ̴ P

Bi-conditional statement

P if and only Q

If-then form

the "if" part contains the hypothesis and the "then" part contains the conclusion.

Conclusion

Tells if your hypothesis was correct; supported or not supported

Converse

(noun) A statement that switches the hypothesis and conclusion

Negation

Adding "not" or removing it

Inverse

reversed (turned backward) in order or nature or effect

Contrapositive

when the hypothesis and the conclusion of a converse of a conditional statement are negated

equivalent statements

have the same truth value

Perpendicular lines

lines in a plane that intersect to form 4 right angles

Line Perpendicular to a Plane

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

Biconditional Statement

p if and only if q

Law of Detachment

is p-->q is true, then p is true, and q is true

Law of Syllogism

if p-->q and q-->r are true, then p-->r is true

Logical Argument

an argument based on deductive reasoning, which uses facts, definitions, and accepted properties in a logical order

- conditional statements

Types of Statements used in logical argument

Conditional statements

statements written using if & then

The hypothesis (the "if" statement)

Two parts of the conditional statements

If hypothesis then conclusion

how to write a conditional statement

Inverse

a + (-a) = 0 = (-a) + a OR a * 1/a = 1 = 1/a * a; a cant be 0

conditional

an if-then statement

Biconditional

Conditional statement where both the converse and inverse are true and uses the phrase "if and only if"