2.3 Conditional Statements

Has two parts, hypothesis and conclusion.
Written in “if-then” form
Hypothesis follows the “if” Conclusion follows the “then” Example: If m<A = 90, then <A is a right angle.

Is written by switching the hypothesis and conclusion. Example statement: If m<A = 90, then <A is a right angle. Example Converse: If <A is a right angle, then m<A = 90.

Is written by writing the negative of the statement. Example statement <A is right.. Example Negation is: <A is not right.

Is written by negating the hypothesis and conclusion of a conditional statement. Example statement: If m<A = 90, then <A is a right angle Example Inverse: If m<A does not = 90, then <A is not a right angle.

Is written by negating the hypothesis and conclusion of the converse of a conditional statement.
Example Statement: If m<A = 90, then <A is a right angle. Example converse: If <A is a right angle, then m<A = 90. Example contrapositive: If <A is not a right angle, then m<A is not = 90. Any of the statements above can be either true or false.

Other statements based on a given conditional statement are kno

Statements with the same truth values

Is a statement that contains the phrase “if and only if”. It is equivalent to writing a conditional statement and its converse. Example: <A is a right angle if and only if m<A = 90.