Biconditionals

If and then statement

The reverse of an if then statement

The negation of the if then statement

The reverse and negation of an if then statement

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

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

If it is a right angle then it is 90 degrees

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

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

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

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

Statements with the same truth value

if-then statement that follows the if

statement that has the opposite statement of the original statement

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.

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