Biconditionals

Conditional

Conditional

If and then statement

Converse

The reverse of an if then statement

Inverse

The negation of the if then statement

Contrapositive

The reverse and negation of an if then statement

Biconditional

Combo of a conditional statement and its converse, "If and only if"

Conditional ex.

If an angle is 90 degrees then it is a right angle

Converse ex.

If it is a right angle then it is 90 degrees

Inverse ex.

if it is not 90 degrees then it is not a right angle

Contrapositive ex.

if it is not a right angle then it is not 90 degrees

Biconditional ex.

An angle is a right angle if and only if it is 90 degrees

Conclusion

The part of an if-then statement that follows the then

Equivalent Statements

Statements with the same truth value

Hypothesis

if-then statement that follows the if

Negation

statement that has the opposite statement of the original statement

Truth Value

The truth value of a sentence is "true" or "false". A sentence of the form "If A then B" is true unless A is true and B is false. In this case A is "2 is even" and B is "New York has a large population." I would evaluate each of these as true, so the compound statement is true.

False

A conditional statement is false if hypothesis is true and the conclusion is false